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Finding the Fourth Proportional to 587.97, 881.66 and 197.84

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Solution

The fourth proportional to 587.97, 881.66 and 197.84 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.97 : 881.66 = 197.84 : x
  2. Step 2: Convert to fraction form
    587.97/881.66 = 197.84/x
  3. Step 3: Cross multiply
    587.97x = 881.66 × 197.84
  4. Step 4: Simplify right side
    587.97x = 174,422.22
  5. Step 5: Solve for x
    x = 174,422.22/587.97
  6. Step 6: Final answer
    x = 296.65

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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.