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Finding the Fourth Proportional to 297.24, 409.68 and 241.32

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Solution

The fourth proportional to 297.24, 409.68 and 241.32 is: 332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.24 : 409.68 = 241.32 : x
  2. Step 2: Convert to fraction form
    297.24/409.68 = 241.32/x
  3. Step 3: Cross multiply
    297.24x = 409.68 × 241.32
  4. Step 4: Simplify right side
    297.24x = 98,863.98
  5. Step 5: Solve for x
    x = 98,863.98/297.24
  6. Step 6: Final answer
    x = 332.61

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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.