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Finding the Fourth Proportional to 637.14, 955.82 and 271.90

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Solution

The fourth proportional to 637.14, 955.82 and 271.90 is: 407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.14 : 955.82 = 271.90 : x
  2. Step 2: Convert to fraction form
    637.14/955.82 = 271.90/x
  3. Step 3: Cross multiply
    637.14x = 955.82 × 271.90
  4. Step 4: Simplify right side
    637.14x = 259,887.46
  5. Step 5: Solve for x
    x = 259,887.46/637.14
  6. Step 6: Final answer
    x = 407.90

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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.