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Finding the Fourth Proportional to 806.18, 1,209.40 and 319.22

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Solution

The fourth proportional to 806.18, 1,209.40 and 319.22 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.18 : 1,209.40 = 319.22 : x
  2. Step 2: Convert to fraction form
    806.18/1,209.40 = 319.22/x
  3. Step 3: Cross multiply
    806.18x = 1,209.40 × 319.22
  4. Step 4: Simplify right side
    806.18x = 386,064.67
  5. Step 5: Solve for x
    x = 386,064.67/806.18
  6. Step 6: Final answer
    x = 478.88

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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.