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Finding the Fourth Proportional to 581.26, 871.40 and 407.42

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Solution

The fourth proportional to 581.26, 871.40 and 407.42 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.26 : 871.40 = 407.42 : x
  2. Step 2: Convert to fraction form
    581.26/871.40 = 407.42/x
  3. Step 3: Cross multiply
    581.26x = 871.40 × 407.42
  4. Step 4: Simplify right side
    581.26x = 355,025.79
  5. Step 5: Solve for x
    x = 355,025.79/581.26
  6. Step 6: Final answer
    x = 610.79

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