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Finding the Fourth Proportional to 310.60, 465.49 and 252.17

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Solution

The fourth proportional to 310.60, 465.49 and 252.17 is: 377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.60 : 465.49 = 252.17 : x
  2. Step 2: Convert to fraction form
    310.60/465.49 = 252.17/x
  3. Step 3: Cross multiply
    310.60x = 465.49 × 252.17
  4. Step 4: Simplify right side
    310.60x = 117,382.95
  5. Step 5: Solve for x
    x = 117,382.95/310.60
  6. Step 6: Final answer
    x = 377.92

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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.