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Finding the Fourth Proportional to 602.57, 831.42 and 353.90

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Solution

The fourth proportional to 602.57, 831.42 and 353.90 is: 488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.57 : 831.42 = 353.90 : x
  2. Step 2: Convert to fraction form
    602.57/831.42 = 353.90/x
  3. Step 3: Cross multiply
    602.57x = 831.42 × 353.90
  4. Step 4: Simplify right side
    602.57x = 294,235.38
  5. Step 5: Solve for x
    x = 294,235.38/602.57
  6. Step 6: Final answer
    x = 488.30

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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.