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Finding the Fourth Proportional to 575.80, 861.64 and 537.18

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Solution

The fourth proportional to 575.80, 861.64 and 537.18 is: 803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.80 : 861.64 = 537.18 : x
  2. Step 2: Convert to fraction form
    575.80/861.64 = 537.18/x
  3. Step 3: Cross multiply
    575.80x = 861.64 × 537.18
  4. Step 4: Simplify right side
    575.80x = 462,854.43
  5. Step 5: Solve for x
    x = 462,854.43/575.80
  6. Step 6: Final answer
    x = 803.85

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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.