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Finding the Fourth Proportional to 686.34, 1,029.60 and 224.46

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Solution

The fourth proportional to 686.34, 1,029.60 and 224.46 is: 336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 1,029.60 = 224.46 : x
  2. Step 2: Convert to fraction form
    686.34/1,029.60 = 224.46/x
  3. Step 3: Cross multiply
    686.34x = 1,029.60 × 224.46
  4. Step 4: Simplify right side
    686.34x = 231,104.02
  5. Step 5: Solve for x
    x = 231,104.02/686.34
  6. Step 6: Final answer
    x = 336.72

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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.