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Finding the Fourth Proportional to 616.50, 851.13 and 409.86

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Solution

The fourth proportional to 616.50, 851.13 and 409.86 is: 565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 851.13 = 409.86 : x
  2. Step 2: Convert to fraction form
    616.50/851.13 = 409.86/x
  3. Step 3: Cross multiply
    616.50x = 851.13 × 409.86
  4. Step 4: Simplify right side
    616.50x = 348,844.14
  5. Step 5: Solve for x
    x = 348,844.14/616.50
  6. Step 6: Final answer
    x = 565.85

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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.