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Finding the Fourth Proportional to 575.90, 861.99 and 301.61

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Solution

The fourth proportional to 575.90, 861.99 and 301.61 is: 451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.90 : 861.99 = 301.61 : x
  2. Step 2: Convert to fraction form
    575.90/861.99 = 301.61/x
  3. Step 3: Cross multiply
    575.90x = 861.99 × 301.61
  4. Step 4: Simplify right side
    575.90x = 259,984.80
  5. Step 5: Solve for x
    x = 259,984.80/575.90
  6. Step 6: Final answer
    x = 451.44

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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.