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Finding the Fourth Proportional to 494.13, 741.29 and 392.07

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Solution

The fourth proportional to 494.13, 741.29 and 392.07 is: 588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.13 : 741.29 = 392.07 : x
  2. Step 2: Convert to fraction form
    494.13/741.29 = 392.07/x
  3. Step 3: Cross multiply
    494.13x = 741.29 × 392.07
  4. Step 4: Simplify right side
    494.13x = 290,635.61
  5. Step 5: Solve for x
    x = 290,635.61/494.13
  6. Step 6: Final answer
    x = 588.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.