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Finding the Fourth Proportional to 557.42, 769.73 and 531.15

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Solution

The fourth proportional to 557.42, 769.73 and 531.15 is: 733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.42 : 769.73 = 531.15 : x
  2. Step 2: Convert to fraction form
    557.42/769.73 = 531.15/x
  3. Step 3: Cross multiply
    557.42x = 769.73 × 531.15
  4. Step 4: Simplify right side
    557.42x = 408,839.43
  5. Step 5: Solve for x
    x = 408,839.43/557.42
  6. Step 6: Final answer
    x = 733.46

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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.