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Finding the Fourth Proportional to 378.05, 566.45 and 363.83

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Solution

The fourth proportional to 378.05, 566.45 and 363.83 is: 545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.05 : 566.45 = 363.83 : x
  2. Step 2: Convert to fraction form
    378.05/566.45 = 363.83/x
  3. Step 3: Cross multiply
    378.05x = 566.45 × 363.83
  4. Step 4: Simplify right side
    378.05x = 206,091.50
  5. Step 5: Solve for x
    x = 206,091.50/378.05
  6. Step 6: Final answer
    x = 545.14

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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.