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Finding the Fourth Proportional to 602.42, 831.42 and 353.70

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Solution

The fourth proportional to 602.42, 831.42 and 353.70 is: 488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 831.42 = 353.70 : x
  2. Step 2: Convert to fraction form
    602.42/831.42 = 353.70/x
  3. Step 3: Cross multiply
    602.42x = 831.42 × 353.70
  4. Step 4: Simplify right side
    602.42x = 294,073.25
  5. Step 5: Solve for x
    x = 294,073.25/602.42
  6. Step 6: Final answer
    x = 488.16

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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.