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Finding the Fourth Proportional to 297.12, 409.38 and 286.32

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Solution

The fourth proportional to 297.12, 409.38 and 286.32 is: 394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.12 : 409.38 = 286.32 : x
  2. Step 2: Convert to fraction form
    297.12/409.38 = 286.32/x
  3. Step 3: Cross multiply
    297.12x = 409.38 × 286.32
  4. Step 4: Simplify right side
    297.12x = 117,213.68
  5. Step 5: Solve for x
    x = 117,213.68/297.12
  6. Step 6: Final answer
    x = 394.50

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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.