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Finding the Fourth Proportional to 616.71, 850.92 and 354.66

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Solution

The fourth proportional to 616.71, 850.92 and 354.66 is: 489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.71 : 850.92 = 354.66 : x
  2. Step 2: Convert to fraction form
    616.71/850.92 = 354.66/x
  3. Step 3: Cross multiply
    616.71x = 850.92 × 354.66
  4. Step 4: Simplify right side
    616.71x = 301,787.29
  5. Step 5: Solve for x
    x = 301,787.29/616.71
  6. Step 6: Final answer
    x = 489.35

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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.