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Finding the Fourth Proportional to 424.73, 636.69 and 193.75

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Solution

The fourth proportional to 424.73, 636.69 and 193.75 is: 290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.73 : 636.69 = 193.75 : x
  2. Step 2: Convert to fraction form
    424.73/636.69 = 193.75/x
  3. Step 3: Cross multiply
    424.73x = 636.69 × 193.75
  4. Step 4: Simplify right side
    424.73x = 123,358.69
  5. Step 5: Solve for x
    x = 123,358.69/424.73
  6. Step 6: Final answer
    x = 290.44

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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.