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Finding the Fourth Proportional to 499.48, 688.96 and 324.52

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Solution

The fourth proportional to 499.48, 688.96 and 324.52 is: 447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.48 : 688.96 = 324.52 : x
  2. Step 2: Convert to fraction form
    499.48/688.96 = 324.52/x
  3. Step 3: Cross multiply
    499.48x = 688.96 × 324.52
  4. Step 4: Simplify right side
    499.48x = 223,581.30
  5. Step 5: Solve for x
    x = 223,581.30/499.48
  6. Step 6: Final answer
    x = 447.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.