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Finding the Fourth Proportional to 587.24, 880.85 and 154.40

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Solution

The fourth proportional to 587.24, 880.85 and 154.40 is: 231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.24 : 880.85 = 154.40 : x
  2. Step 2: Convert to fraction form
    587.24/880.85 = 154.40/x
  3. Step 3: Cross multiply
    587.24x = 880.85 × 154.40
  4. Step 4: Simplify right side
    587.24x = 135,999.22
  5. Step 5: Solve for x
    x = 135,999.22/587.24
  6. Step 6: Final answer
    x = 231.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.