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Finding the Fourth Proportional to 587.52, 881.12 and 176.68

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Solution

The fourth proportional to 587.52, 881.12 and 176.68 is: 264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 881.12 = 176.68 : x
  2. Step 2: Convert to fraction form
    587.52/881.12 = 176.68/x
  3. Step 3: Cross multiply
    587.52x = 881.12 × 176.68
  4. Step 4: Simplify right side
    587.52x = 155,676.28
  5. Step 5: Solve for x
    x = 155,676.28/587.52
  6. Step 6: Final answer
    x = 264.97

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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.