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Finding the Fourth Proportional to 485.46, 726.81 and 322.82

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Solution

The fourth proportional to 485.46, 726.81 and 322.82 is: 483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.46 : 726.81 = 322.82 : x
  2. Step 2: Convert to fraction form
    485.46/726.81 = 322.82/x
  3. Step 3: Cross multiply
    485.46x = 726.81 × 322.82
  4. Step 4: Simplify right side
    485.46x = 234,628.80
  5. Step 5: Solve for x
    x = 234,628.80/485.46
  6. Step 6: Final answer
    x = 483.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.