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Finding the Fourth Proportional to 671.94, 926.15 and 538.70

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Solution

The fourth proportional to 671.94, 926.15 and 538.70 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.94 : 926.15 = 538.70 : x
  2. Step 2: Convert to fraction form
    671.94/926.15 = 538.70/x
  3. Step 3: Cross multiply
    671.94x = 926.15 × 538.70
  4. Step 4: Simplify right side
    671.94x = 498,909.68
  5. Step 5: Solve for x
    x = 498,909.68/671.94
  6. Step 6: Final answer
    x = 742.49

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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.