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Finding the Fourth Proportional to 377.81, 521.25 and 299.14

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Solution

The fourth proportional to 377.81, 521.25 and 299.14 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.81 : 521.25 = 299.14 : x
  2. Step 2: Convert to fraction form
    377.81/521.25 = 299.14/x
  3. Step 3: Cross multiply
    377.81x = 521.25 × 299.14
  4. Step 4: Simplify right side
    377.81x = 155,926.73
  5. Step 5: Solve for x
    x = 155,926.73/377.81
  6. Step 6: Final answer
    x = 412.71

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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.