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Finding the Fourth Proportional to 581.08, 871.14 and 398.56

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Solution

The fourth proportional to 581.08, 871.14 and 398.56 is: 597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.08 : 871.14 = 398.56 : x
  2. Step 2: Convert to fraction form
    581.08/871.14 = 398.56/x
  3. Step 3: Cross multiply
    581.08x = 871.14 × 398.56
  4. Step 4: Simplify right side
    581.08x = 347,201.56
  5. Step 5: Solve for x
    x = 347,201.56/581.08
  6. Step 6: Final answer
    x = 597.51

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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.