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Finding the Fourth Proportional to 426.24, 637.44 and 252.42

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Solution

The fourth proportional to 426.24, 637.44 and 252.42 is: 377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.24 : 637.44 = 252.42 : x
  2. Step 2: Convert to fraction form
    426.24/637.44 = 252.42/x
  3. Step 3: Cross multiply
    426.24x = 637.44 × 252.42
  4. Step 4: Simplify right side
    426.24x = 160,902.60
  5. Step 5: Solve for x
    x = 160,902.60/426.24
  6. Step 6: Final answer
    x = 377.49

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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.