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Finding the Fourth Proportional to 326.24, 486.48 and 323.32

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Solution

The fourth proportional to 326.24, 486.48 and 323.32 is: 482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.24 : 486.48 = 323.32 : x
  2. Step 2: Convert to fraction form
    326.24/486.48 = 323.32/x
  3. Step 3: Cross multiply
    326.24x = 486.48 × 323.32
  4. Step 4: Simplify right side
    326.24x = 157,288.71
  5. Step 5: Solve for x
    x = 157,288.71/326.24
  6. Step 6: Final answer
    x = 482.13

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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.