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Finding the Fourth Proportional to 297.42, 409.92 and 242.04

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Solution

The fourth proportional to 297.42, 409.92 and 242.04 is: 333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 409.92 = 242.04 : x
  2. Step 2: Convert to fraction form
    297.42/409.92 = 242.04/x
  3. Step 3: Cross multiply
    297.42x = 409.92 × 242.04
  4. Step 4: Simplify right side
    297.42x = 99,217.04
  5. Step 5: Solve for x
    x = 99,217.04/297.42
  6. Step 6: Final answer
    x = 333.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.