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Finding the Fourth Proportional to 587.96, 882.07 and 177.13

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Solution

The fourth proportional to 587.96, 882.07 and 177.13 is: 265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.96 : 882.07 = 177.13 : x
  2. Step 2: Convert to fraction form
    587.96/882.07 = 177.13/x
  3. Step 3: Cross multiply
    587.96x = 882.07 × 177.13
  4. Step 4: Simplify right side
    587.96x = 156,241.06
  5. Step 5: Solve for x
    x = 156,241.06/587.96
  6. Step 6: Final answer
    x = 265.73

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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.