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Finding the Fourth Proportional to 806.67, 1,210.17 and 258.84

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Solution

The fourth proportional to 806.67, 1,210.17 and 258.84 is: 388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.67 : 1,210.17 = 258.84 : x
  2. Step 2: Convert to fraction form
    806.67/1,210.17 = 258.84/x
  3. Step 3: Cross multiply
    806.67x = 1,210.17 × 258.84
  4. Step 4: Simplify right side
    806.67x = 313,240.40
  5. Step 5: Solve for x
    x = 313,240.40/806.67
  6. Step 6: Final answer
    x = 388.31

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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.