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Finding the Fourth Proportional to 575.11, 863.03 and 538.21

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Solution

The fourth proportional to 575.11, 863.03 and 538.21 is: 807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.11 : 863.03 = 538.21 : x
  2. Step 2: Convert to fraction form
    575.11/863.03 = 538.21/x
  3. Step 3: Cross multiply
    575.11x = 863.03 × 538.21
  4. Step 4: Simplify right side
    575.11x = 464,488.69
  5. Step 5: Solve for x
    x = 464,488.69/575.11
  6. Step 6: Final answer
    x = 807.65

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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.