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Finding the Fourth Proportional to 616.92, 924.16 and 463.02

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Solution

The fourth proportional to 616.92, 924.16 and 463.02 is: 693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 924.16 = 463.02 : x
  2. Step 2: Convert to fraction form
    616.92/924.16 = 463.02/x
  3. Step 3: Cross multiply
    616.92x = 924.16 × 463.02
  4. Step 4: Simplify right side
    616.92x = 427,904.56
  5. Step 5: Solve for x
    x = 427,904.56/616.92
  6. Step 6: Final answer
    x = 693.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.