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Finding the Fourth Proportional to 637.42, 956.24 and 226.46

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Solution

The fourth proportional to 637.42, 956.24 and 226.46 is: 339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.42 : 956.24 = 226.46 : x
  2. Step 2: Convert to fraction form
    637.42/956.24 = 226.46/x
  3. Step 3: Cross multiply
    637.42x = 956.24 × 226.46
  4. Step 4: Simplify right side
    637.42x = 216,550.11
  5. Step 5: Solve for x
    x = 216,550.11/637.42
  6. Step 6: Final answer
    x = 339.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.