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Finding the Fourth Proportional to 671.72, 926.97 and 406.17

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Solution

The fourth proportional to 671.72, 926.97 and 406.17 is: 560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.72 : 926.97 = 406.17 : x
  2. Step 2: Convert to fraction form
    671.72/926.97 = 406.17/x
  3. Step 3: Cross multiply
    671.72x = 926.97 × 406.17
  4. Step 4: Simplify right side
    671.72x = 376,507.40
  5. Step 5: Solve for x
    x = 376,507.40/671.72
  6. Step 6: Final answer
    x = 560.52

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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.