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Finding the Fourth Proportional to 806.08, 1,209.28 and 319.04

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Solution

The fourth proportional to 806.08, 1,209.28 and 319.04 is: 478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.08 : 1,209.28 = 319.04 : x
  2. Step 2: Convert to fraction form
    806.08/1,209.28 = 319.04/x
  3. Step 3: Cross multiply
    806.08x = 1,209.28 × 319.04
  4. Step 4: Simplify right side
    806.08x = 385,808.69
  5. Step 5: Solve for x
    x = 385,808.69/806.08
  6. Step 6: Final answer
    x = 478.62

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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.