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Finding the Fourth Proportional to 865.62, 1,298.17 and 317.85

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Solution

The fourth proportional to 865.62, 1,298.17 and 317.85 is: 476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.62 : 1,298.17 = 317.85 : x
  2. Step 2: Convert to fraction form
    865.62/1,298.17 = 317.85/x
  3. Step 3: Cross multiply
    865.62x = 1,298.17 × 317.85
  4. Step 4: Simplify right side
    865.62x = 412,623.33
  5. Step 5: Solve for x
    x = 412,623.33/865.62
  6. Step 6: Final answer
    x = 476.68

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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.