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Finding the Fourth Proportional to 542.36, 748.40 and 306.23

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Solution

The fourth proportional to 542.36, 748.40 and 306.23 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 748.40 = 306.23 : x
  2. Step 2: Convert to fraction form
    542.36/748.40 = 306.23/x
  3. Step 3: Cross multiply
    542.36x = 748.40 × 306.23
  4. Step 4: Simplify right side
    542.36x = 229,182.53
  5. Step 5: Solve for x
    x = 229,182.53/542.36
  6. Step 6: Final answer
    x = 422.57

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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.