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Finding the Fourth Proportional to 806.17, 1,208.66 and 258.04

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Solution

The fourth proportional to 806.17, 1,208.66 and 258.04 is: 386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.17 : 1,208.66 = 258.04 : x
  2. Step 2: Convert to fraction form
    806.17/1,208.66 = 258.04/x
  3. Step 3: Cross multiply
    806.17x = 1,208.66 × 258.04
  4. Step 4: Simplify right side
    806.17x = 311,876.58
  5. Step 5: Solve for x
    x = 311,876.58/806.17
  6. Step 6: Final answer
    x = 386.86

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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.