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Finding the Fourth Proportional to 924.87, 1,387.14 and 308.48

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Solution

The fourth proportional to 924.87, 1,387.14 and 308.48 is: 462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.87 : 1,387.14 = 308.48 : x
  2. Step 2: Convert to fraction form
    924.87/1,387.14 = 308.48/x
  3. Step 3: Cross multiply
    924.87x = 1,387.14 × 308.48
  4. Step 4: Simplify right side
    924.87x = 427,898.01
  5. Step 5: Solve for x
    x = 427,898.01/924.87
  6. Step 6: Final answer
    x = 462.66

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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.