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Finding the Fourth Proportional to 860.26, 1,290.27 and 366.87

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Solution

The fourth proportional to 860.26, 1,290.27 and 366.87 is: 550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.26 : 1,290.27 = 366.87 : x
  2. Step 2: Convert to fraction form
    860.26/1,290.27 = 366.87/x
  3. Step 3: Cross multiply
    860.26x = 1,290.27 × 366.87
  4. Step 4: Simplify right side
    860.26x = 473,361.35
  5. Step 5: Solve for x
    x = 473,361.35/860.26
  6. Step 6: Final answer
    x = 550.25

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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.