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Finding the Fourth Proportional to 602.78, 831.96 and 354.16

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Solution

The fourth proportional to 602.78, 831.96 and 354.16 is: 488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.78 : 831.96 = 354.16 : x
  2. Step 2: Convert to fraction form
    602.78/831.96 = 354.16/x
  3. Step 3: Cross multiply
    602.78x = 831.96 × 354.16
  4. Step 4: Simplify right side
    602.78x = 294,646.95
  5. Step 5: Solve for x
    x = 294,646.95/602.78
  6. Step 6: Final answer
    x = 488.81

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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.