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Finding the Fourth Proportional to 392.70, 541.81 and 224.65

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Solution

The fourth proportional to 392.70, 541.81 and 224.65 is: 309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.70 : 541.81 = 224.65 : x
  2. Step 2: Convert to fraction form
    392.70/541.81 = 224.65/x
  3. Step 3: Cross multiply
    392.70x = 541.81 × 224.65
  4. Step 4: Simplify right side
    392.70x = 121,717.68
  5. Step 5: Solve for x
    x = 121,717.68/392.70
  6. Step 6: Final answer
    x = 309.95

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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.