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Finding the Fourth Proportional to 671.85, 927.52 and 406.34

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Solution

The fourth proportional to 671.85, 927.52 and 406.34 is: 560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.85 : 927.52 = 406.34 : x
  2. Step 2: Convert to fraction form
    671.85/927.52 = 406.34/x
  3. Step 3: Cross multiply
    671.85x = 927.52 × 406.34
  4. Step 4: Simplify right side
    671.85x = 376,888.48
  5. Step 5: Solve for x
    x = 376,888.48/671.85
  6. Step 6: Final answer
    x = 560.97

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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.