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Finding the Fourth Proportional to 411.27, 616.69 and 314.88

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Solution

The fourth proportional to 411.27, 616.69 and 314.88 is: 472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 616.69 = 314.88 : x
  2. Step 2: Convert to fraction form
    411.27/616.69 = 314.88/x
  3. Step 3: Cross multiply
    411.27x = 616.69 × 314.88
  4. Step 4: Simplify right side
    411.27x = 194,183.35
  5. Step 5: Solve for x
    x = 194,183.35/411.27
  6. Step 6: Final answer
    x = 472.16

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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.