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Finding the Fourth Proportional to 365.22, 504.02 and 209.97

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Solution

The fourth proportional to 365.22, 504.02 and 209.97 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.22 : 504.02 = 209.97 : x
  2. Step 2: Convert to fraction form
    365.22/504.02 = 209.97/x
  3. Step 3: Cross multiply
    365.22x = 504.02 × 209.97
  4. Step 4: Simplify right side
    365.22x = 105,829.60
  5. Step 5: Solve for x
    x = 105,829.60/365.22
  6. Step 6: Final answer
    x = 289.77

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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.