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Finding the Fourth Proportional to 326.34, 449.64 and 306.18

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Solution

The fourth proportional to 326.34, 449.64 and 306.18 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.34 : 449.64 = 306.18 : x
  2. Step 2: Convert to fraction form
    326.34/449.64 = 306.18/x
  3. Step 3: Cross multiply
    326.34x = 449.64 × 306.18
  4. Step 4: Simplify right side
    326.34x = 137,670.78
  5. Step 5: Solve for x
    x = 137,670.78/326.34
  6. Step 6: Final answer
    x = 421.86

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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.