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Finding the Fourth Proportional to 381.46, 570.84 and 299.74

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Solution

The fourth proportional to 381.46, 570.84 and 299.74 is: 448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.46 : 570.84 = 299.74 : x
  2. Step 2: Convert to fraction form
    381.46/570.84 = 299.74/x
  3. Step 3: Cross multiply
    381.46x = 570.84 × 299.74
  4. Step 4: Simplify right side
    381.46x = 171,103.58
  5. Step 5: Solve for x
    x = 171,103.58/381.46
  6. Step 6: Final answer
    x = 448.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.