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Finding the Fourth Proportional to 657.47, 984.15 and 484.34

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Solution

The fourth proportional to 657.47, 984.15 and 484.34 is: 724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.47 : 984.15 = 484.34 : x
  2. Step 2: Convert to fraction form
    657.47/984.15 = 484.34/x
  3. Step 3: Cross multiply
    657.47x = 984.15 × 484.34
  4. Step 4: Simplify right side
    657.47x = 476,660.11
  5. Step 5: Solve for x
    x = 476,660.11/657.47
  6. Step 6: Final answer
    x = 724.99

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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.