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Finding the Fourth Proportional to 380.14, 568.98 and 299.14

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Solution

The fourth proportional to 380.14, 568.98 and 299.14 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.14 : 568.98 = 299.14 : x
  2. Step 2: Convert to fraction form
    380.14/568.98 = 299.14/x
  3. Step 3: Cross multiply
    380.14x = 568.98 × 299.14
  4. Step 4: Simplify right side
    380.14x = 170,201.83
  5. Step 5: Solve for x
    x = 170,201.83/380.14
  6. Step 6: Final answer
    x = 447.74

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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.