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Finding the Fourth Proportional to 542.53, 748.76 and 306.57

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Solution

The fourth proportional to 542.53, 748.76 and 306.57 is: 423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.53 : 748.76 = 306.57 : x
  2. Step 2: Convert to fraction form
    542.53/748.76 = 306.57/x
  3. Step 3: Cross multiply
    542.53x = 748.76 × 306.57
  4. Step 4: Simplify right side
    542.53x = 229,548.63
  5. Step 5: Solve for x
    x = 229,548.63/542.53
  6. Step 6: Final answer
    x = 423.11

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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.