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Finding the Fourth Proportional to 326.24, 486.40 and 301.92

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Solution

The fourth proportional to 326.24, 486.40 and 301.92 is: 450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.24 : 486.40 = 301.92 : x
  2. Step 2: Convert to fraction form
    326.24/486.40 = 301.92/x
  3. Step 3: Cross multiply
    326.24x = 486.40 × 301.92
  4. Step 4: Simplify right side
    326.24x = 146,853.89
  5. Step 5: Solve for x
    x = 146,853.89/326.24
  6. Step 6: Final answer
    x = 450.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.