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Finding the Fourth Proportional to 860.11, 1,290.17 and 210.85

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Solution

The fourth proportional to 860.11, 1,290.17 and 210.85 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.11 : 1,290.17 = 210.85 : x
  2. Step 2: Convert to fraction form
    860.11/1,290.17 = 210.85/x
  3. Step 3: Cross multiply
    860.11x = 1,290.17 × 210.85
  4. Step 4: Simplify right side
    860.11x = 272,028.06
  5. Step 5: Solve for x
    x = 272,028.06/860.11
  6. Step 6: Final answer
    x = 316.27

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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.