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Finding the Fourth Proportional to 542.67, 748.94 and 309.75

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Solution

The fourth proportional to 542.67, 748.94 and 309.75 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.67 : 748.94 = 309.75 : x
  2. Step 2: Convert to fraction form
    542.67/748.94 = 309.75/x
  3. Step 3: Cross multiply
    542.67x = 748.94 × 309.75
  4. Step 4: Simplify right side
    542.67x = 231,982.62
  5. Step 5: Solve for x
    x = 231,982.62/542.67
  6. Step 6: Final answer
    x = 427.48

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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.