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Finding the Fourth Proportional to 671.58, 927.48 and 462.29

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Solution

The fourth proportional to 671.58, 927.48 and 462.29 is: 638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.58 : 927.48 = 462.29 : x
  2. Step 2: Convert to fraction form
    671.58/927.48 = 462.29/x
  3. Step 3: Cross multiply
    671.58x = 927.48 × 462.29
  4. Step 4: Simplify right side
    671.58x = 428,769.98
  5. Step 5: Solve for x
    x = 428,769.98/671.58
  6. Step 6: Final answer
    x = 638.45

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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.