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Finding the Fourth Proportional to 365.43, 504.10 and 218.04

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Solution

The fourth proportional to 365.43, 504.10 and 218.04 is: 300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.43 : 504.10 = 218.04 : x
  2. Step 2: Convert to fraction form
    365.43/504.10 = 218.04/x
  3. Step 3: Cross multiply
    365.43x = 504.10 × 218.04
  4. Step 4: Simplify right side
    365.43x = 109,913.96
  5. Step 5: Solve for x
    x = 109,913.96/365.43
  6. Step 6: Final answer
    x = 300.78

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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.