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Finding the Fourth Proportional to 860.33, 1,289.57 and 366.99

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Solution

The fourth proportional to 860.33, 1,289.57 and 366.99 is: 550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.33 : 1,289.57 = 366.99 : x
  2. Step 2: Convert to fraction form
    860.33/1,289.57 = 366.99/x
  3. Step 3: Cross multiply
    860.33x = 1,289.57 × 366.99
  4. Step 4: Simplify right side
    860.33x = 473,257.46
  5. Step 5: Solve for x
    x = 473,257.46/860.33
  6. Step 6: Final answer
    x = 550.09

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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.