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Finding the Fourth Proportional to 805.98, 1,208.52 and 285.96

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Solution

The fourth proportional to 805.98, 1,208.52 and 285.96 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.98 : 1,208.52 = 285.96 : x
  2. Step 2: Convert to fraction form
    805.98/1,208.52 = 285.96/x
  3. Step 3: Cross multiply
    805.98x = 1,208.52 × 285.96
  4. Step 4: Simplify right side
    805.98x = 345,588.38
  5. Step 5: Solve for x
    x = 345,588.38/805.98
  6. Step 6: Final answer
    x = 428.78

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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.