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Finding the Fourth Proportional to 322.62, 482.96 and 200.48

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Solution

The fourth proportional to 322.62, 482.96 and 200.48 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 482.96 = 200.48 : x
  2. Step 2: Convert to fraction form
    322.62/482.96 = 200.48/x
  3. Step 3: Cross multiply
    322.62x = 482.96 × 200.48
  4. Step 4: Simplify right side
    322.62x = 96,823.82
  5. Step 5: Solve for x
    x = 96,823.82/322.62
  6. Step 6: Final answer
    x = 300.12

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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.