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Finding the Fourth Proportional to 557.34, 769.14 and 324.42

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Solution

The fourth proportional to 557.34, 769.14 and 324.42 is: 447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.34 : 769.14 = 324.42 : x
  2. Step 2: Convert to fraction form
    557.34/769.14 = 324.42/x
  3. Step 3: Cross multiply
    557.34x = 769.14 × 324.42
  4. Step 4: Simplify right side
    557.34x = 249,524.40
  5. Step 5: Solve for x
    x = 249,524.40/557.34
  6. Step 6: Final answer
    x = 447.71

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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.