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Finding the Fourth Proportional to 557.47, 769.26 and 409.85

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Solution

The fourth proportional to 557.47, 769.26 and 409.85 is: 565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.47 : 769.26 = 409.85 : x
  2. Step 2: Convert to fraction form
    557.47/769.26 = 409.85/x
  3. Step 3: Cross multiply
    557.47x = 769.26 × 409.85
  4. Step 4: Simplify right side
    557.47x = 315,281.21
  5. Step 5: Solve for x
    x = 315,281.21/557.47
  6. Step 6: Final answer
    x = 565.56

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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.