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Finding the Fourth Proportional to 862.57, 1,293.31 and 306.91

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Solution

The fourth proportional to 862.57, 1,293.31 and 306.91 is: 460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.57 : 1,293.31 = 306.91 : x
  2. Step 2: Convert to fraction form
    862.57/1,293.31 = 306.91/x
  3. Step 3: Cross multiply
    862.57x = 1,293.31 × 306.91
  4. Step 4: Simplify right side
    862.57x = 396,929.77
  5. Step 5: Solve for x
    x = 396,929.77/862.57
  6. Step 6: Final answer
    x = 460.17

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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.