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Finding the Fourth Proportional to 297.09, 409.79 and 214.06

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Solution

The fourth proportional to 297.09, 409.79 and 214.06 is: 295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 409.79 = 214.06 : x
  2. Step 2: Convert to fraction form
    297.09/409.79 = 214.06/x
  3. Step 3: Cross multiply
    297.09x = 409.79 × 214.06
  4. Step 4: Simplify right side
    297.09x = 87,719.65
  5. Step 5: Solve for x
    x = 87,719.65/297.09
  6. Step 6: Final answer
    x = 295.26

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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.