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Finding the Fourth Proportional to 860.52, 1,290.72 and 275.52

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Solution

The fourth proportional to 860.52, 1,290.72 and 275.52 is: 413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.52 : 1,290.72 = 275.52 : x
  2. Step 2: Convert to fraction form
    860.52/1,290.72 = 275.52/x
  3. Step 3: Cross multiply
    860.52x = 1,290.72 × 275.52
  4. Step 4: Simplify right side
    860.52x = 355,619.17
  5. Step 5: Solve for x
    x = 355,619.17/860.52
  6. Step 6: Final answer
    x = 413.26

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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.