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Finding the Fourth Proportional to 494.40, 741.74 and 216.78

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Solution

The fourth proportional to 494.40, 741.74 and 216.78 is: 325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.40 : 741.74 = 216.78 : x
  2. Step 2: Convert to fraction form
    494.40/741.74 = 216.78/x
  3. Step 3: Cross multiply
    494.40x = 741.74 × 216.78
  4. Step 4: Simplify right side
    494.40x = 160,797.72
  5. Step 5: Solve for x
    x = 160,797.72/494.40
  6. Step 6: Final answer
    x = 325.24

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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.