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Finding the Fourth Proportional to 872.18, 1,308.32 and 287.24

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Solution

The fourth proportional to 872.18, 1,308.32 and 287.24 is: 430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.18 : 1,308.32 = 287.24 : x
  2. Step 2: Convert to fraction form
    872.18/1,308.32 = 287.24/x
  3. Step 3: Cross multiply
    872.18x = 1,308.32 × 287.24
  4. Step 4: Simplify right side
    872.18x = 375,793.86
  5. Step 5: Solve for x
    x = 375,793.86/872.18
  6. Step 6: Final answer
    x = 430.87

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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.