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Finding the Fourth Proportional to 587, 880.48 and 154.16

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Solution

The fourth proportional to 587, 880.48 and 154.16 is: 231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    587 : 880.48 = 154.16 : x
  2. Step 2: Convert to fraction form
    587/880.48 = 154.16/x
  3. Step 3: Cross multiply
    587x = 880.48 × 154.16
  4. Step 4: Simplify right side
    587x = 135,734.80
  5. Step 5: Solve for x
    x = 135,734.80/587
  6. Step 6: Final answer
    x = 231.23

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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.