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Finding the Fourth Proportional to 872.40, 1,308.15 and 324.30

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Solution

The fourth proportional to 872.40, 1,308.15 and 324.30 is: 486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.40 : 1,308.15 = 324.30 : x
  2. Step 2: Convert to fraction form
    872.40/1,308.15 = 324.30/x
  3. Step 3: Cross multiply
    872.40x = 1,308.15 × 324.30
  4. Step 4: Simplify right side
    872.40x = 424,233.05
  5. Step 5: Solve for x
    x = 424,233.05/872.40
  6. Step 6: Final answer
    x = 486.28

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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.