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Finding the Fourth Proportional to 557.62, 769.65 and 531.58

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Solution

The fourth proportional to 557.62, 769.65 and 531.58 is: 733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.62 : 769.65 = 531.58 : x
  2. Step 2: Convert to fraction form
    557.62/769.65 = 531.58/x
  3. Step 3: Cross multiply
    557.62x = 769.65 × 531.58
  4. Step 4: Simplify right side
    557.62x = 409,130.55
  5. Step 5: Solve for x
    x = 409,130.55/557.62
  6. Step 6: Final answer
    x = 733.71

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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.