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Finding the Fourth Proportional to 330.41, 495.06 and 233.75

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Solution

The fourth proportional to 330.41, 495.06 and 233.75 is: 350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.41 : 495.06 = 233.75 : x
  2. Step 2: Convert to fraction form
    330.41/495.06 = 233.75/x
  3. Step 3: Cross multiply
    330.41x = 495.06 × 233.75
  4. Step 4: Simplify right side
    330.41x = 115,720.28
  5. Step 5: Solve for x
    x = 115,720.28/330.41
  6. Step 6: Final answer
    x = 350.23

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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.