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Finding the Fourth Proportional to 385.80, 578.57 and 154.62

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Solution

The fourth proportional to 385.80, 578.57 and 154.62 is: 231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 578.57 = 154.62 : x
  2. Step 2: Convert to fraction form
    385.80/578.57 = 154.62/x
  3. Step 3: Cross multiply
    385.80x = 578.57 × 154.62
  4. Step 4: Simplify right side
    385.80x = 89,457.72
  5. Step 5: Solve for x
    x = 89,457.72/385.80
  6. Step 6: Final answer
    x = 231.88

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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.