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Finding the Fourth Proportional to 637.97, 956.96 and 253.22

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Solution

The fourth proportional to 637.97, 956.96 and 253.22 is: 379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.97 : 956.96 = 253.22 : x
  2. Step 2: Convert to fraction form
    637.97/956.96 = 253.22/x
  3. Step 3: Cross multiply
    637.97x = 956.96 × 253.22
  4. Step 4: Simplify right side
    637.97x = 242,324.44
  5. Step 5: Solve for x
    x = 242,324.44/637.97
  6. Step 6: Final answer
    x = 379.84

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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.