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Finding the Fourth Proportional to 671.31, 926.46 and 376.61

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Solution

The fourth proportional to 671.31, 926.46 and 376.61 is: 519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.31 : 926.46 = 376.61 : x
  2. Step 2: Convert to fraction form
    671.31/926.46 = 376.61/x
  3. Step 3: Cross multiply
    671.31x = 926.46 × 376.61
  4. Step 4: Simplify right side
    671.31x = 348,909.47
  5. Step 5: Solve for x
    x = 348,909.47/671.31
  6. Step 6: Final answer
    x = 519.74

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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.