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Finding the Fourth Proportional to 309.43, 463.17 and 247.87

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Solution

The fourth proportional to 309.43, 463.17 and 247.87 is: 371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.43 : 463.17 = 247.87 : x
  2. Step 2: Convert to fraction form
    309.43/463.17 = 247.87/x
  3. Step 3: Cross multiply
    309.43x = 463.17 × 247.87
  4. Step 4: Simplify right side
    309.43x = 114,805.95
  5. Step 5: Solve for x
    x = 114,805.95/309.43
  6. Step 6: Final answer
    x = 371.02

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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.