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Finding the Fourth Proportional to 323.94, 483.54 and 323.10

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Solution

The fourth proportional to 323.94, 483.54 and 323.10 is: 482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 483.54 = 323.10 : x
  2. Step 2: Convert to fraction form
    323.94/483.54 = 323.10/x
  3. Step 3: Cross multiply
    323.94x = 483.54 × 323.10
  4. Step 4: Simplify right side
    323.94x = 156,231.77
  5. Step 5: Solve for x
    x = 156,231.77/323.94
  6. Step 6: Final answer
    x = 482.29

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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.