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Finding the Fourth Proportional to 385.72, 578.43 and 154.55

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Solution

The fourth proportional to 385.72, 578.43 and 154.55 is: 231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.72 : 578.43 = 154.55 : x
  2. Step 2: Convert to fraction form
    385.72/578.43 = 154.55/x
  3. Step 3: Cross multiply
    385.72x = 578.43 × 154.55
  4. Step 4: Simplify right side
    385.72x = 89,396.36
  5. Step 5: Solve for x
    x = 89,396.36/385.72
  6. Step 6: Final answer
    x = 231.76

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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.