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Finding the Fourth Proportional to 274.48, 409.84 and 233.88

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Solution

The fourth proportional to 274.48, 409.84 and 233.88 is: 349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.48 : 409.84 = 233.88 : x
  2. Step 2: Convert to fraction form
    274.48/409.84 = 233.88/x
  3. Step 3: Cross multiply
    274.48x = 409.84 × 233.88
  4. Step 4: Simplify right side
    274.48x = 95,853.38
  5. Step 5: Solve for x
    x = 95,853.38/274.48
  6. Step 6: Final answer
    x = 349.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.