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Finding the Fourth Proportional to 601.20, 829.38 and 435.15

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Solution

The fourth proportional to 601.20, 829.38 and 435.15 is: 600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 829.38 = 435.15 : x
  2. Step 2: Convert to fraction form
    601.20/829.38 = 435.15/x
  3. Step 3: Cross multiply
    601.20x = 829.38 × 435.15
  4. Step 4: Simplify right side
    601.20x = 360,904.71
  5. Step 5: Solve for x
    x = 360,904.71/601.20
  6. Step 6: Final answer
    x = 600.31

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Double scale
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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.