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Finding the Fourth Proportional to 274.52, 410.99 and 229.02

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Solution

The fourth proportional to 274.52, 410.99 and 229.02 is: 342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 410.99 = 229.02 : x
  2. Step 2: Convert to fraction form
    274.52/410.99 = 229.02/x
  3. Step 3: Cross multiply
    274.52x = 410.99 × 229.02
  4. Step 4: Simplify right side
    274.52x = 94,123.78
  5. Step 5: Solve for x
    x = 94,123.78/274.52
  6. Step 6: Final answer
    x = 342.87

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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.