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Finding the Fourth Proportional to 587.05, 880.51 and 154.20

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Solution

The fourth proportional to 587.05, 880.51 and 154.20 is: 231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.05 : 880.51 = 154.20 : x
  2. Step 2: Convert to fraction form
    587.05/880.51 = 154.20/x
  3. Step 3: Cross multiply
    587.05x = 880.51 × 154.20
  4. Step 4: Simplify right side
    587.05x = 135,773.87
  5. Step 5: Solve for x
    x = 135,773.87/587.05
  6. Step 6: Final answer
    x = 231.28

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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.