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Finding the Fourth Proportional to 390.71, 539.18 and 213.67

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Solution

The fourth proportional to 390.71, 539.18 and 213.67 is: 294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.71 : 539.18 = 213.67 : x
  2. Step 2: Convert to fraction form
    390.71/539.18 = 213.67/x
  3. Step 3: Cross multiply
    390.71x = 539.18 × 213.67
  4. Step 4: Simplify right side
    390.71x = 115,205.78
  5. Step 5: Solve for x
    x = 115,205.78/390.71
  6. Step 6: Final answer
    x = 294.87

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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.