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Finding the Fourth Proportional to 806.16, 1,208.98 and 258.21

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Solution

The fourth proportional to 806.16, 1,208.98 and 258.21 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.16 : 1,208.98 = 258.21 : x
  2. Step 2: Convert to fraction form
    806.16/1,208.98 = 258.21/x
  3. Step 3: Cross multiply
    806.16x = 1,208.98 × 258.21
  4. Step 4: Simplify right side
    806.16x = 312,170.08
  5. Step 5: Solve for x
    x = 312,170.08/806.16
  6. Step 6: Final answer
    x = 387.23

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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.