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Finding the Fourth Proportional to 600.76, 828.18 and 434.71

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Solution

The fourth proportional to 600.76, 828.18 and 434.71 is: 599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 828.18 = 434.71 : x
  2. Step 2: Convert to fraction form
    600.76/828.18 = 434.71/x
  3. Step 3: Cross multiply
    600.76x = 828.18 × 434.71
  4. Step 4: Simplify right side
    600.76x = 360,018.13
  5. Step 5: Solve for x
    x = 360,018.13/600.76
  6. Step 6: Final answer
    x = 599.27

Related Problems

Find fourth proportional to 300.38, 414.09 and 217.36
Half scale
Find fourth proportional to 1,201.52, 1,656.36 and 869.42
Double scale
Find fourth proportional to 601.76, 829.56 and 435.71
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.