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Finding the Fourth Proportional to 322.65, 444.78 and 211.86

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Solution

The fourth proportional to 322.65, 444.78 and 211.86 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.65 : 444.78 = 211.86 : x
  2. Step 2: Convert to fraction form
    322.65/444.78 = 211.86/x
  3. Step 3: Cross multiply
    322.65x = 444.78 × 211.86
  4. Step 4: Simplify right side
    322.65x = 94,231.09
  5. Step 5: Solve for x
    x = 94,231.09/322.65
  6. Step 6: Final answer
    x = 292.05

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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.