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Finding the Fourth Proportional to 600.76, 829.06 and 338.72

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Solution

The fourth proportional to 600.76, 829.06 and 338.72 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 829.06 = 338.72 : x
  2. Step 2: Convert to fraction form
    600.76/829.06 = 338.72/x
  3. Step 3: Cross multiply
    600.76x = 829.06 × 338.72
  4. Step 4: Simplify right side
    600.76x = 280,820.43
  5. Step 5: Solve for x
    x = 280,820.43/600.76
  6. Step 6: Final answer
    x = 467.44

Related Problems

Find fourth proportional to 300.38, 414.53 and 169.36
Half scale
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Double scale
Find fourth proportional to 601.76, 830.44 and 339.72
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.