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Finding the Fourth Proportional to 587.18, 881.27 and 327.44

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Solution

The fourth proportional to 587.18, 881.27 and 327.44 is: 491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.18 : 881.27 = 327.44 : x
  2. Step 2: Convert to fraction form
    587.18/881.27 = 327.44/x
  3. Step 3: Cross multiply
    587.18x = 881.27 × 327.44
  4. Step 4: Simplify right side
    587.18x = 288,557.01
  5. Step 5: Solve for x
    x = 288,557.01/587.18
  6. Step 6: Final answer
    x = 491.43

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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.