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Finding the Fourth Proportional to 308.24, 462.68 and 288.40

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Solution

The fourth proportional to 308.24, 462.68 and 288.40 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.24 : 462.68 = 288.40 : x
  2. Step 2: Convert to fraction form
    308.24/462.68 = 288.40/x
  3. Step 3: Cross multiply
    308.24x = 462.68 × 288.40
  4. Step 4: Simplify right side
    308.24x = 133,436.91
  5. Step 5: Solve for x
    x = 133,436.91/308.24
  6. Step 6: Final answer
    x = 432.90

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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.