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Finding the Fourth Proportional to 296.55, 408.86 and 241.17

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Solution

The fourth proportional to 296.55, 408.86 and 241.17 is: 332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.55 : 408.86 = 241.17 : x
  2. Step 2: Convert to fraction form
    296.55/408.86 = 241.17/x
  3. Step 3: Cross multiply
    296.55x = 408.86 × 241.17
  4. Step 4: Simplify right side
    296.55x = 98,604.77
  5. Step 5: Solve for x
    x = 98,604.77/296.55
  6. Step 6: Final answer
    x = 332.51

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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.