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Finding the Fourth Proportional to 291.84, 436.92 and 227.52

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Solution

The fourth proportional to 291.84, 436.92 and 227.52 is: 340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 436.92 = 227.52 : x
  2. Step 2: Convert to fraction form
    291.84/436.92 = 227.52/x
  3. Step 3: Cross multiply
    291.84x = 436.92 × 227.52
  4. Step 4: Simplify right side
    291.84x = 99,408.04
  5. Step 5: Solve for x
    x = 99,408.04/291.84
  6. Step 6: Final answer
    x = 340.63

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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.