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Finding the Fourth Proportional to 580.56, 871.21 and 542.11

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Solution

The fourth proportional to 580.56, 871.21 and 542.11 is: 813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 871.21 = 542.11 : x
  2. Step 2: Convert to fraction form
    580.56/871.21 = 542.11/x
  3. Step 3: Cross multiply
    580.56x = 871.21 × 542.11
  4. Step 4: Simplify right side
    580.56x = 472,291.79
  5. Step 5: Solve for x
    x = 472,291.79/580.56
  6. Step 6: Final answer
    x = 813.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.