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Finding the Fourth Proportional to 686.31, 1,029.69 and 224.10

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Solution

The fourth proportional to 686.31, 1,029.69 and 224.10 is: 336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.31 : 1,029.69 = 224.10 : x
  2. Step 2: Convert to fraction form
    686.31/1,029.69 = 224.10/x
  3. Step 3: Cross multiply
    686.31x = 1,029.69 × 224.10
  4. Step 4: Simplify right side
    686.31x = 230,753.53
  5. Step 5: Solve for x
    x = 230,753.53/686.31
  6. Step 6: Final answer
    x = 336.22

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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.