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Finding the Fourth Proportional to 391.39, 540.12 and 216.74

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Solution

The fourth proportional to 391.39, 540.12 and 216.74 is: 299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.39 : 540.12 = 216.74 : x
  2. Step 2: Convert to fraction form
    391.39/540.12 = 216.74/x
  3. Step 3: Cross multiply
    391.39x = 540.12 × 216.74
  4. Step 4: Simplify right side
    391.39x = 117,065.65
  5. Step 5: Solve for x
    x = 117,065.65/391.39
  6. Step 6: Final answer
    x = 299.10

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Why These Related Problems?

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