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Finding the Fourth Proportional to 637.82, 880.17 and 361.82

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Solution

The fourth proportional to 637.82, 880.17 and 361.82 is: 499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.82 : 880.17 = 361.82 : x
  2. Step 2: Convert to fraction form
    637.82/880.17 = 361.82/x
  3. Step 3: Cross multiply
    637.82x = 880.17 × 361.82
  4. Step 4: Simplify right side
    637.82x = 318,463.11
  5. Step 5: Solve for x
    x = 318,463.11/637.82
  6. Step 6: Final answer
    x = 499.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.