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Finding the Fourth Proportional to 494.10, 741.15 and 439.43

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Solution

The fourth proportional to 494.10, 741.15 and 439.43 is: 659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.10 : 741.15 = 439.43 : x
  2. Step 2: Convert to fraction form
    494.10/741.15 = 439.43/x
  3. Step 3: Cross multiply
    494.10x = 741.15 × 439.43
  4. Step 4: Simplify right side
    494.10x = 325,679.84
  5. Step 5: Solve for x
    x = 325,679.84/494.10
  6. Step 6: Final answer
    x = 659.14

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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.