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Finding the Fourth Proportional to 557.96, 769.56 and 410.90

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Solution

The fourth proportional to 557.96, 769.56 and 410.90 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 769.56 = 410.90 : x
  2. Step 2: Convert to fraction form
    557.96/769.56 = 410.90/x
  3. Step 3: Cross multiply
    557.96x = 769.56 × 410.90
  4. Step 4: Simplify right side
    557.96x = 316,212.20
  5. Step 5: Solve for x
    x = 316,212.20/557.96
  6. Step 6: Final answer
    x = 566.73

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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.