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Finding the Fourth Proportional to 322.12, 480.52 and 300.03

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Solution

The fourth proportional to 322.12, 480.52 and 300.03 is: 447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 480.52 = 300.03 : x
  2. Step 2: Convert to fraction form
    322.12/480.52 = 300.03/x
  3. Step 3: Cross multiply
    322.12x = 480.52 × 300.03
  4. Step 4: Simplify right side
    322.12x = 144,170.42
  5. Step 5: Solve for x
    x = 144,170.42/322.12
  6. Step 6: Final answer
    x = 447.57

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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.