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Finding the Fourth Proportional to 637.14, 955.91 and 271.74

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Solution

The fourth proportional to 637.14, 955.91 and 271.74 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.14 : 955.91 = 271.74 : x
  2. Step 2: Convert to fraction form
    637.14/955.91 = 271.74/x
  3. Step 3: Cross multiply
    637.14x = 955.91 × 271.74
  4. Step 4: Simplify right side
    637.14x = 259,758.98
  5. Step 5: Solve for x
    x = 259,758.98/637.14
  6. Step 6: Final answer
    x = 407.70

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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.