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Finding the Fourth Proportional to 295.97, 446.18 and 276.15

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Solution

The fourth proportional to 295.97, 446.18 and 276.15 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.97 : 446.18 = 276.15 : x
  2. Step 2: Convert to fraction form
    295.97/446.18 = 276.15/x
  3. Step 3: Cross multiply
    295.97x = 446.18 × 276.15
  4. Step 4: Simplify right side
    295.97x = 123,212.61
  5. Step 5: Solve for x
    x = 123,212.61/295.97
  6. Step 6: Final answer
    x = 416.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.