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Finding the Fourth Proportional to 393.44, 588.96 and 248.72

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Solution

The fourth proportional to 393.44, 588.96 and 248.72 is: 372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.44 : 588.96 = 248.72 : x
  2. Step 2: Convert to fraction form
    393.44/588.96 = 248.72/x
  3. Step 3: Cross multiply
    393.44x = 588.96 × 248.72
  4. Step 4: Simplify right side
    393.44x = 146,486.13
  5. Step 5: Solve for x
    x = 146,486.13/393.44
  6. Step 6: Final answer
    x = 372.32

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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.