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Finding the Fourth Proportional to 362.32, 542.26 and 274.23

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Solution

The fourth proportional to 362.32, 542.26 and 274.23 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 542.26 = 274.23 : x
  2. Step 2: Convert to fraction form
    362.32/542.26 = 274.23/x
  3. Step 3: Cross multiply
    362.32x = 542.26 × 274.23
  4. Step 4: Simplify right side
    362.32x = 148,704.30
  5. Step 5: Solve for x
    x = 148,704.30/362.32
  6. Step 6: Final answer
    x = 410.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.