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Finding the Fourth Proportional to 925.25, 1,387.24 and 347.63

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Solution

The fourth proportional to 925.25, 1,387.24 and 347.63 is: 521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.25 : 1,387.24 = 347.63 : x
  2. Step 2: Convert to fraction form
    925.25/1,387.24 = 347.63/x
  3. Step 3: Cross multiply
    925.25x = 1,387.24 × 347.63
  4. Step 4: Simplify right side
    925.25x = 482,238.44
  5. Step 5: Solve for x
    x = 482,238.44/925.25
  6. Step 6: Final answer
    x = 521.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.