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Finding the Fourth Proportional to 378.03, 567.15 and 204.62

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Solution

The fourth proportional to 378.03, 567.15 and 204.62 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.03 : 567.15 = 204.62 : x
  2. Step 2: Convert to fraction form
    378.03/567.15 = 204.62/x
  3. Step 3: Cross multiply
    378.03x = 567.15 × 204.62
  4. Step 4: Simplify right side
    378.03x = 116,049.21
  5. Step 5: Solve for x
    x = 116,049.21/378.03
  6. Step 6: Final answer
    x = 306.98

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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.