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Finding the Fourth Proportional to 925.08, 1,387.72 and 438.28

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Solution

The fourth proportional to 925.08, 1,387.72 and 438.28 is: 657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.08 : 1,387.72 = 438.28 : x
  2. Step 2: Convert to fraction form
    925.08/1,387.72 = 438.28/x
  3. Step 3: Cross multiply
    925.08x = 1,387.72 × 438.28
  4. Step 4: Simplify right side
    925.08x = 608,209.92
  5. Step 5: Solve for x
    x = 608,209.92/925.08
  6. Step 6: Final answer
    x = 657.47

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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.