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Finding the Fourth Proportional to 542.09, 748.12 and 409.08

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Solution

The fourth proportional to 542.09, 748.12 and 409.08 is: 564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 748.12 = 409.08 : x
  2. Step 2: Convert to fraction form
    542.09/748.12 = 409.08/x
  3. Step 3: Cross multiply
    542.09x = 748.12 × 409.08
  4. Step 4: Simplify right side
    542.09x = 306,040.93
  5. Step 5: Solve for x
    x = 306,040.93/542.09
  6. Step 6: Final answer
    x = 564.56

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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.