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Finding the Fourth Proportional to 382.44, 574.14 and 245.76

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Solution

The fourth proportional to 382.44, 574.14 and 245.76 is: 368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 574.14 = 245.76 : x
  2. Step 2: Convert to fraction form
    382.44/574.14 = 245.76/x
  3. Step 3: Cross multiply
    382.44x = 574.14 × 245.76
  4. Step 4: Simplify right side
    382.44x = 141,100.65
  5. Step 5: Solve for x
    x = 141,100.65/382.44
  6. Step 6: Final answer
    x = 368.95

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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.