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Finding the Fourth Proportional to 392.72, 589.08 and 248.52

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Solution

The fourth proportional to 392.72, 589.08 and 248.52 is: 372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 589.08 = 248.52 : x
  2. Step 2: Convert to fraction form
    392.72/589.08 = 248.52/x
  3. Step 3: Cross multiply
    392.72x = 589.08 × 248.52
  4. Step 4: Simplify right side
    392.72x = 146,398.16
  5. Step 5: Solve for x
    x = 146,398.16/392.72
  6. Step 6: Final answer
    x = 372.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.