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Finding the Fourth Proportional to 292.28, 402.09 and 252.64

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Solution

The fourth proportional to 292.28, 402.09 and 252.64 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.28 : 402.09 = 252.64 : x
  2. Step 2: Convert to fraction form
    292.28/402.09 = 252.64/x
  3. Step 3: Cross multiply
    292.28x = 402.09 × 252.64
  4. Step 4: Simplify right side
    292.28x = 101,585.41
  5. Step 5: Solve for x
    x = 101,585.41/292.28
  6. Step 6: Final answer
    x = 347.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.