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Finding the Fourth Proportional to 637.72, 957 and 226.85

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Solution

The fourth proportional to 637.72, 957 and 226.85 is: 340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.72 : 957 = 226.85 : x
  2. Step 2: Convert to fraction form
    637.72/957 = 226.85/x
  3. Step 3: Cross multiply
    637.72x = 957 × 226.85
  4. Step 4: Simplify right side
    637.72x = 217,095.45
  5. Step 5: Solve for x
    x = 217,095.45/637.72
  6. Step 6: Final answer
    x = 340.42

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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.