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Finding the Fourth Proportional to 385.05, 531.32 and 227.67

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Solution

The fourth proportional to 385.05, 531.32 and 227.67 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.05 : 531.32 = 227.67 : x
  2. Step 2: Convert to fraction form
    385.05/531.32 = 227.67/x
  3. Step 3: Cross multiply
    385.05x = 531.32 × 227.67
  4. Step 4: Simplify right side
    385.05x = 120,965.62
  5. Step 5: Solve for x
    x = 120,965.62/385.05
  6. Step 6: Final answer
    x = 314.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.