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Finding the Fourth Proportional to 602.29, 829.92 and 462.40

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Solution

The fourth proportional to 602.29, 829.92 and 462.40 is: 637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.29 : 829.92 = 462.40 : x
  2. Step 2: Convert to fraction form
    602.29/829.92 = 462.40/x
  3. Step 3: Cross multiply
    602.29x = 829.92 × 462.40
  4. Step 4: Simplify right side
    602.29x = 383,750.86
  5. Step 5: Solve for x
    x = 383,750.86/602.29
  6. Step 6: Final answer
    x = 637.16

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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.