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Finding the Fourth Proportional to 674.31, 928.14 and 477.48

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Solution

The fourth proportional to 674.31, 928.14 and 477.48 is: 657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.31 : 928.14 = 477.48 : x
  2. Step 2: Convert to fraction form
    674.31/928.14 = 477.48/x
  3. Step 3: Cross multiply
    674.31x = 928.14 × 477.48
  4. Step 4: Simplify right side
    674.31x = 443,169.98
  5. Step 5: Solve for x
    x = 443,169.98/674.31
  6. Step 6: Final answer
    x = 657.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.