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Finding the Fourth Proportional to 297.86, 409.79 and 282.20

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Solution

The fourth proportional to 297.86, 409.79 and 282.20 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.86 : 409.79 = 282.20 : x
  2. Step 2: Convert to fraction form
    297.86/409.79 = 282.20/x
  3. Step 3: Cross multiply
    297.86x = 409.79 × 282.20
  4. Step 4: Simplify right side
    297.86x = 115,641.39
  5. Step 5: Solve for x
    x = 115,641.39/297.86
  6. Step 6: Final answer
    x = 388.25

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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.