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Finding the Fourth Proportional to 362.30, 541.29 and 224.25

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Solution

The fourth proportional to 362.30, 541.29 and 224.25 is: 335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.30 : 541.29 = 224.25 : x
  2. Step 2: Convert to fraction form
    362.30/541.29 = 224.25/x
  3. Step 3: Cross multiply
    362.30x = 541.29 × 224.25
  4. Step 4: Simplify right side
    362.30x = 121,384.28
  5. Step 5: Solve for x
    x = 121,384.28/362.30
  6. Step 6: Final answer
    x = 335.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.