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Finding the Fourth Proportional to 581.52, 871.82 and 398.36

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Solution

The fourth proportional to 581.52, 871.82 and 398.36 is: 597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.52 : 871.82 = 398.36 : x
  2. Step 2: Convert to fraction form
    581.52/871.82 = 398.36/x
  3. Step 3: Cross multiply
    581.52x = 871.82 × 398.36
  4. Step 4: Simplify right side
    581.52x = 347,298.22
  5. Step 5: Solve for x
    x = 347,298.22/581.52
  6. Step 6: Final answer
    x = 597.22

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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.