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Finding the Fourth Proportional to 587.54, 881.23 and 154.73

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Solution

The fourth proportional to 587.54, 881.23 and 154.73 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.54 : 881.23 = 154.73 : x
  2. Step 2: Convert to fraction form
    587.54/881.23 = 154.73/x
  3. Step 3: Cross multiply
    587.54x = 881.23 × 154.73
  4. Step 4: Simplify right side
    587.54x = 136,348.70
  5. Step 5: Solve for x
    x = 136,348.70/587.54
  6. Step 6: Final answer
    x = 232.07

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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.