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Finding the Fourth Proportional to 297, 409.68 and 241.20

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Solution

The fourth proportional to 297, 409.68 and 241.20 is: 332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 409.68 = 241.20 : x
  2. Step 2: Convert to fraction form
    297/409.68 = 241.20/x
  3. Step 3: Cross multiply
    297x = 409.68 × 241.20
  4. Step 4: Simplify right side
    297x = 98,814.82
  5. Step 5: Solve for x
    x = 98,814.82/297
  6. Step 6: Final answer
    x = 332.71

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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.