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Finding the Fourth Proportional to 424.73, 637.19 and 193.68

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Solution

The fourth proportional to 424.73, 637.19 and 193.68 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.73 : 637.19 = 193.68 : x
  2. Step 2: Convert to fraction form
    424.73/637.19 = 193.68/x
  3. Step 3: Cross multiply
    424.73x = 637.19 × 193.68
  4. Step 4: Simplify right side
    424.73x = 123,409.99
  5. Step 5: Solve for x
    x = 123,409.99/424.73
  6. Step 6: Final answer
    x = 290.56

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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.