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Finding the Fourth Proportional to 587.39, 881.21 and 197.43

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Solution

The fourth proportional to 587.39, 881.21 and 197.43 is: 296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.39 : 881.21 = 197.43 : x
  2. Step 2: Convert to fraction form
    587.39/881.21 = 197.43/x
  3. Step 3: Cross multiply
    587.39x = 881.21 × 197.43
  4. Step 4: Simplify right side
    587.39x = 173,977.29
  5. Step 5: Solve for x
    x = 173,977.29/587.39
  6. Step 6: Final answer
    x = 296.19

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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.