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Finding the Fourth Proportional to 576.90, 863.91 and 540.45

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Solution

The fourth proportional to 576.90, 863.91 and 540.45 is: 809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.90 : 863.91 = 540.45 : x
  2. Step 2: Convert to fraction form
    576.90/863.91 = 540.45/x
  3. Step 3: Cross multiply
    576.90x = 863.91 × 540.45
  4. Step 4: Simplify right side
    576.90x = 466,900.16
  5. Step 5: Solve for x
    x = 466,900.16/576.90
  6. Step 6: Final answer
    x = 809.33

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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.