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Finding the Fourth Proportional to 392.68, 541.83 and 252.69

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Solution

The fourth proportional to 392.68, 541.83 and 252.69 is: 348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 541.83 = 252.69 : x
  2. Step 2: Convert to fraction form
    392.68/541.83 = 252.69/x
  3. Step 3: Cross multiply
    392.68x = 541.83 × 252.69
  4. Step 4: Simplify right side
    392.68x = 136,915.02
  5. Step 5: Solve for x
    x = 136,915.02/392.68
  6. Step 6: Final answer
    x = 348.67

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Why These Related Problems?

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