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Finding the Fourth Proportional to 686.61, 1,030.01 and 224.24

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Solution

The fourth proportional to 686.61, 1,030.01 and 224.24 is: 336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.61 : 1,030.01 = 224.24 : x
  2. Step 2: Convert to fraction form
    686.61/1,030.01 = 224.24/x
  3. Step 3: Cross multiply
    686.61x = 1,030.01 × 224.24
  4. Step 4: Simplify right side
    686.61x = 230,963.17
  5. Step 5: Solve for x
    x = 230,963.17/686.61
  6. Step 6: Final answer
    x = 336.38

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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.