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Finding the Fourth Proportional to 575.20, 863.04 and 459.52

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Solution

The fourth proportional to 575.20, 863.04 and 459.52 is: 689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.20 : 863.04 = 459.52 : x
  2. Step 2: Convert to fraction form
    575.20/863.04 = 459.52/x
  3. Step 3: Cross multiply
    575.20x = 863.04 × 459.52
  4. Step 4: Simplify right side
    575.20x = 396,584.14
  5. Step 5: Solve for x
    x = 396,584.14/575.20
  6. Step 6: Final answer
    x = 689.47

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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.