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Finding the Fourth Proportional to 402.85, 556.07 and 367.61

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Solution

The fourth proportional to 402.85, 556.07 and 367.61 is: 507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.85 : 556.07 = 367.61 : x
  2. Step 2: Convert to fraction form
    402.85/556.07 = 367.61/x
  3. Step 3: Cross multiply
    402.85x = 556.07 × 367.61
  4. Step 4: Simplify right side
    402.85x = 204,415.05
  5. Step 5: Solve for x
    x = 204,415.05/402.85
  6. Step 6: Final answer
    x = 507.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.