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Finding the Fourth Proportional to 616.97, 851.49 and 355.03

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Solution

The fourth proportional to 616.97, 851.49 and 355.03 is: 489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.97 : 851.49 = 355.03 : x
  2. Step 2: Convert to fraction form
    616.97/851.49 = 355.03/x
  3. Step 3: Cross multiply
    616.97x = 851.49 × 355.03
  4. Step 4: Simplify right side
    616.97x = 302,306.16
  5. Step 5: Solve for x
    x = 302,306.16/616.97
  6. Step 6: Final answer
    x = 489.99

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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.