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Finding the Fourth Proportional to 297.08, 443.44 and 274.40

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Solution

The fourth proportional to 297.08, 443.44 and 274.40 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.08 : 443.44 = 274.40 : x
  2. Step 2: Convert to fraction form
    297.08/443.44 = 274.40/x
  3. Step 3: Cross multiply
    297.08x = 443.44 × 274.40
  4. Step 4: Simplify right side
    297.08x = 121,679.94
  5. Step 5: Solve for x
    x = 121,679.94/297.08
  6. Step 6: Final answer
    x = 409.59

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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.