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Finding the Fourth Proportional to 392.24, 541.40 and 274.24

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Solution

The fourth proportional to 392.24, 541.40 and 274.24 is: 378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.24 : 541.40 = 274.24 : x
  2. Step 2: Convert to fraction form
    392.24/541.40 = 274.24/x
  3. Step 3: Cross multiply
    392.24x = 541.40 × 274.24
  4. Step 4: Simplify right side
    392.24x = 148,473.54
  5. Step 5: Solve for x
    x = 148,473.54/392.24
  6. Step 6: Final answer
    x = 378.53

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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.