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Finding the Fourth Proportional to 671.96, 927.28 and 392.20

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Solution

The fourth proportional to 671.96, 927.28 and 392.20 is: 541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.96 : 927.28 = 392.20 : x
  2. Step 2: Convert to fraction form
    671.96/927.28 = 392.20/x
  3. Step 3: Cross multiply
    671.96x = 927.28 × 392.20
  4. Step 4: Simplify right side
    671.96x = 363,679.22
  5. Step 5: Solve for x
    x = 363,679.22/671.96
  6. Step 6: Final answer
    x = 541.22

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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.