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Finding the Fourth Proportional to 587.90, 881.53 and 197.76

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Solution

The fourth proportional to 587.90, 881.53 and 197.76 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.90 : 881.53 = 197.76 : x
  2. Step 2: Convert to fraction form
    587.90/881.53 = 197.76/x
  3. Step 3: Cross multiply
    587.90x = 881.53 × 197.76
  4. Step 4: Simplify right side
    587.90x = 174,331.37
  5. Step 5: Solve for x
    x = 174,331.37/587.90
  6. Step 6: Final answer
    x = 296.53

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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.