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Finding the Fourth Proportional to 393.09, 542.61 and 268.74

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Solution

The fourth proportional to 393.09, 542.61 and 268.74 is: 370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.09 : 542.61 = 268.74 : x
  2. Step 2: Convert to fraction form
    393.09/542.61 = 268.74/x
  3. Step 3: Cross multiply
    393.09x = 542.61 × 268.74
  4. Step 4: Simplify right side
    393.09x = 145,821.01
  5. Step 5: Solve for x
    x = 145,821.01/393.09
  6. Step 6: Final answer
    x = 370.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.