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Finding the Fourth Proportional to 297.27, 444.33 and 274.23

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Solution

The fourth proportional to 297.27, 444.33 and 274.23 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.27 : 444.33 = 274.23 : x
  2. Step 2: Convert to fraction form
    297.27/444.33 = 274.23/x
  3. Step 3: Cross multiply
    297.27x = 444.33 × 274.23
  4. Step 4: Simplify right side
    297.27x = 121,848.62
  5. Step 5: Solve for x
    x = 121,848.62/297.27
  6. Step 6: Final answer
    x = 409.89

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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.