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Finding the Fourth Proportional to 487.11, 671.31 and 347.23

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Solution

The fourth proportional to 487.11, 671.31 and 347.23 is: 478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.11 : 671.31 = 347.23 : x
  2. Step 2: Convert to fraction form
    487.11/671.31 = 347.23/x
  3. Step 3: Cross multiply
    487.11x = 671.31 × 347.23
  4. Step 4: Simplify right side
    487.11x = 233,098.97
  5. Step 5: Solve for x
    x = 233,098.97/487.11
  6. Step 6: Final answer
    x = 478.53

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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.