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Finding the Fourth Proportional to 616.27, 927.51 and 463

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Solution

The fourth proportional to 616.27, 927.51 and 463 is: 696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.27 : 927.51 = 463 : x
  2. Step 2: Convert to fraction form
    616.27/927.51 = 463/x
  3. Step 3: Cross multiply
    616.27x = 927.51 × 463
  4. Step 4: Simplify right side
    616.27x = 429,437.13
  5. Step 5: Solve for x
    x = 429,437.13/616.27
  6. Step 6: Final answer
    x = 696.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.