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Finding the Fourth Proportional to 486.17, 726.47 and 330.81

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Solution

The fourth proportional to 486.17, 726.47 and 330.81 is: 494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.17 : 726.47 = 330.81 : x
  2. Step 2: Convert to fraction form
    486.17/726.47 = 330.81/x
  3. Step 3: Cross multiply
    486.17x = 726.47 × 330.81
  4. Step 4: Simplify right side
    486.17x = 240,323.54
  5. Step 5: Solve for x
    x = 240,323.54/486.17
  6. Step 6: Final answer
    x = 494.32

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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.