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Finding the Fourth Proportional to 330.72, 456.08 and 237.44

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Solution

The fourth proportional to 330.72, 456.08 and 237.44 is: 327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.72 : 456.08 = 237.44 : x
  2. Step 2: Convert to fraction form
    330.72/456.08 = 237.44/x
  3. Step 3: Cross multiply
    330.72x = 456.08 × 237.44
  4. Step 4: Simplify right side
    330.72x = 108,291.64
  5. Step 5: Solve for x
    x = 108,291.64/330.72
  6. Step 6: Final answer
    x = 327.44

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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.