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Finding the Fourth Proportional to 872.48, 1,308.27 and 324.65

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Solution

The fourth proportional to 872.48, 1,308.27 and 324.65 is: 486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.48 : 1,308.27 = 324.65 : x
  2. Step 2: Convert to fraction form
    872.48/1,308.27 = 324.65/x
  3. Step 3: Cross multiply
    872.48x = 1,308.27 × 324.65
  4. Step 4: Simplify right side
    872.48x = 424,729.86
  5. Step 5: Solve for x
    x = 424,729.86/872.48
  6. Step 6: Final answer
    x = 486.81

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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.