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Finding the Fourth Proportional to 297.30, 408.54 and 241.92

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Solution

The fourth proportional to 297.30, 408.54 and 241.92 is: 332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 408.54 = 241.92 : x
  2. Step 2: Convert to fraction form
    297.30/408.54 = 241.92/x
  3. Step 3: Cross multiply
    297.30x = 408.54 × 241.92
  4. Step 4: Simplify right side
    297.30x = 98,834.00
  5. Step 5: Solve for x
    x = 98,834.00/297.30
  6. Step 6: Final answer
    x = 332.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.