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Finding the Fourth Proportional to 330.38, 456.74 and 252.08

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Solution

The fourth proportional to 330.38, 456.74 and 252.08 is: 348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 456.74 = 252.08 : x
  2. Step 2: Convert to fraction form
    330.38/456.74 = 252.08/x
  3. Step 3: Cross multiply
    330.38x = 456.74 × 252.08
  4. Step 4: Simplify right side
    330.38x = 115,135.02
  5. Step 5: Solve for x
    x = 115,135.02/330.38
  6. Step 6: Final answer
    x = 348.49

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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.