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Finding the Fourth Proportional to 637.54, 956.14 and 272.27

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Solution

The fourth proportional to 637.54, 956.14 and 272.27 is: 408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.54 : 956.14 = 272.27 : x
  2. Step 2: Convert to fraction form
    637.54/956.14 = 272.27/x
  3. Step 3: Cross multiply
    637.54x = 956.14 × 272.27
  4. Step 4: Simplify right side
    637.54x = 260,328.24
  5. Step 5: Solve for x
    x = 260,328.24/637.54
  6. Step 6: Final answer
    x = 408.33

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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.