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Finding the Fourth Proportional to 537.36, 806.04 and 494.16

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Solution

The fourth proportional to 537.36, 806.04 and 494.16 is: 741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.36 : 806.04 = 494.16 : x
  2. Step 2: Convert to fraction form
    537.36/806.04 = 494.16/x
  3. Step 3: Cross multiply
    537.36x = 806.04 × 494.16
  4. Step 4: Simplify right side
    537.36x = 398,312.73
  5. Step 5: Solve for x
    x = 398,312.73/537.36
  6. Step 6: Final answer
    x = 741.24

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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.