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Finding the Fourth Proportional to 587.74, 881.77 and 176.89

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Solution

The fourth proportional to 587.74, 881.77 and 176.89 is: 265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.74 : 881.77 = 176.89 : x
  2. Step 2: Convert to fraction form
    587.74/881.77 = 176.89/x
  3. Step 3: Cross multiply
    587.74x = 881.77 × 176.89
  4. Step 4: Simplify right side
    587.74x = 155,976.30
  5. Step 5: Solve for x
    x = 155,976.30/587.74
  6. Step 6: Final answer
    x = 265.38

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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.