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Finding the Fourth Proportional to 686.28, 1,029.39 and 224.16

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Solution

The fourth proportional to 686.28, 1,029.39 and 224.16 is: 336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.28 : 1,029.39 = 224.16 : x
  2. Step 2: Convert to fraction form
    686.28/1,029.39 = 224.16/x
  3. Step 3: Cross multiply
    686.28x = 1,029.39 × 224.16
  4. Step 4: Simplify right side
    686.28x = 230,748.06
  5. Step 5: Solve for x
    x = 230,748.06/686.28
  6. Step 6: Final answer
    x = 336.23

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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.