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Finding the Fourth Proportional to 385.28, 574.60 and 378.80

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Solution

The fourth proportional to 385.28, 574.60 and 378.80 is: 564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.28 : 574.60 = 378.80 : x
  2. Step 2: Convert to fraction form
    385.28/574.60 = 378.80/x
  3. Step 3: Cross multiply
    385.28x = 574.60 × 378.80
  4. Step 4: Simplify right side
    385.28x = 217,658.48
  5. Step 5: Solve for x
    x = 217,658.48/385.28
  6. Step 6: Final answer
    x = 564.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.