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Finding the Fourth Proportional to 587.44, 880.82 and 197.24

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Solution

The fourth proportional to 587.44, 880.82 and 197.24 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.44 : 880.82 = 197.24 : x
  2. Step 2: Convert to fraction form
    587.44/880.82 = 197.24/x
  3. Step 3: Cross multiply
    587.44x = 880.82 × 197.24
  4. Step 4: Simplify right side
    587.44x = 173,729.40
  5. Step 5: Solve for x
    x = 173,729.40/587.44
  6. Step 6: Final answer
    x = 295.74

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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.