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Finding the Fourth Proportional to 557.45, 769.17 and 324.53

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Solution

The fourth proportional to 557.45, 769.17 and 324.53 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.45 : 769.17 = 324.53 : x
  2. Step 2: Convert to fraction form
    557.45/769.17 = 324.53/x
  3. Step 3: Cross multiply
    557.45x = 769.17 × 324.53
  4. Step 4: Simplify right side
    557.45x = 249,613.27
  5. Step 5: Solve for x
    x = 249,613.27/557.45
  6. Step 6: Final answer
    x = 447.78

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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.