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Finding the Fourth Proportional to 587.47, 881.09 and 197.43

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Solution

The fourth proportional to 587.47, 881.09 and 197.43 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.47 : 881.09 = 197.43 : x
  2. Step 2: Convert to fraction form
    587.47/881.09 = 197.43/x
  3. Step 3: Cross multiply
    587.47x = 881.09 × 197.43
  4. Step 4: Simplify right side
    587.47x = 173,953.60
  5. Step 5: Solve for x
    x = 173,953.60/587.47
  6. Step 6: Final answer
    x = 296.11

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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.