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Finding the Fourth Proportional to 296.40, 408.85 and 241.18

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Solution

The fourth proportional to 296.40, 408.85 and 241.18 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.40 : 408.85 = 241.18 : x
  2. Step 2: Convert to fraction form
    296.40/408.85 = 241.18/x
  3. Step 3: Cross multiply
    296.40x = 408.85 × 241.18
  4. Step 4: Simplify right side
    296.40x = 98,606.44
  5. Step 5: Solve for x
    x = 98,606.44/296.40
  6. Step 6: Final answer
    x = 332.68

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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.