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Finding the Fourth Proportional to 323.62, 482.06 and 323.01

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Solution

The fourth proportional to 323.62, 482.06 and 323.01 is: 481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.62 : 482.06 = 323.01 : x
  2. Step 2: Convert to fraction form
    323.62/482.06 = 323.01/x
  3. Step 3: Cross multiply
    323.62x = 482.06 × 323.01
  4. Step 4: Simplify right side
    323.62x = 155,711.01
  5. Step 5: Solve for x
    x = 155,711.01/323.62
  6. Step 6: Final answer
    x = 481.16

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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.