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Finding the Fourth Proportional to 542.34, 748.42 and 309.46

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Solution

The fourth proportional to 542.34, 748.42 and 309.46 is: 427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 748.42 = 309.46 : x
  2. Step 2: Convert to fraction form
    542.34/748.42 = 309.46/x
  3. Step 3: Cross multiply
    542.34x = 748.42 × 309.46
  4. Step 4: Simplify right side
    542.34x = 231,606.05
  5. Step 5: Solve for x
    x = 231,606.05/542.34
  6. Step 6: Final answer
    x = 427.05

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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.