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Finding the Fourth Proportional to 291.97, 435.79 and 252.75

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Solution

The fourth proportional to 291.97, 435.79 and 252.75 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.97 : 435.79 = 252.75 : x
  2. Step 2: Convert to fraction form
    291.97/435.79 = 252.75/x
  3. Step 3: Cross multiply
    291.97x = 435.79 × 252.75
  4. Step 4: Simplify right side
    291.97x = 110,144.66
  5. Step 5: Solve for x
    x = 110,144.66/291.97
  6. Step 6: Final answer
    x = 377.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.