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Finding the Fourth Proportional to 297.09, 409.86 and 231.48

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Solution

The fourth proportional to 297.09, 409.86 and 231.48 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 409.86 = 231.48 : x
  2. Step 2: Convert to fraction form
    297.09/409.86 = 231.48/x
  3. Step 3: Cross multiply
    297.09x = 409.86 × 231.48
  4. Step 4: Simplify right side
    297.09x = 94,874.39
  5. Step 5: Solve for x
    x = 94,874.39/297.09
  6. Step 6: Final answer
    x = 319.35

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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.