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Finding the Fourth Proportional to 392.46, 541.53 and 252.76

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Solution

The fourth proportional to 392.46, 541.53 and 252.76 is: 348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.46 : 541.53 = 252.76 : x
  2. Step 2: Convert to fraction form
    392.46/541.53 = 252.76/x
  3. Step 3: Cross multiply
    392.46x = 541.53 × 252.76
  4. Step 4: Simplify right side
    392.46x = 136,877.12
  5. Step 5: Solve for x
    x = 136,877.12/392.46
  6. Step 6: Final answer
    x = 348.77

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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.