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Finding the Fourth Proportional to 602.86, 831.98 and 354.16

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Solution

The fourth proportional to 602.86, 831.98 and 354.16 is: 488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.86 : 831.98 = 354.16 : x
  2. Step 2: Convert to fraction form
    602.86/831.98 = 354.16/x
  3. Step 3: Cross multiply
    602.86x = 831.98 × 354.16
  4. Step 4: Simplify right side
    602.86x = 294,654.04
  5. Step 5: Solve for x
    x = 294,654.04/602.86
  6. Step 6: Final answer
    x = 488.76

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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.