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Finding the Fourth Proportional to 925.21, 1,387.82 and 308.89

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Solution

The fourth proportional to 925.21, 1,387.82 and 308.89 is: 463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.21 : 1,387.82 = 308.89 : x
  2. Step 2: Convert to fraction form
    925.21/1,387.82 = 308.89/x
  3. Step 3: Cross multiply
    925.21x = 1,387.82 × 308.89
  4. Step 4: Simplify right side
    925.21x = 428,683.72
  5. Step 5: Solve for x
    x = 428,683.72/925.21
  6. Step 6: Final answer
    x = 463.34

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Why These Related Problems?

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