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Finding the Fourth Proportional to 862.38, 1,293.15 and 423.66

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Solution

The fourth proportional to 862.38, 1,293.15 and 423.66 is: 635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.38 : 1,293.15 = 423.66 : x
  2. Step 2: Convert to fraction form
    862.38/1,293.15 = 423.66/x
  3. Step 3: Cross multiply
    862.38x = 1,293.15 × 423.66
  4. Step 4: Simplify right side
    862.38x = 547,855.93
  5. Step 5: Solve for x
    x = 547,855.93/862.38
  6. Step 6: Final answer
    x = 635.28

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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.