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Finding the Fourth Proportional to 365.32, 547.97 and 229.23

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Solution

The fourth proportional to 365.32, 547.97 and 229.23 is: 343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.32 : 547.97 = 229.23 : x
  2. Step 2: Convert to fraction form
    365.32/547.97 = 229.23/x
  3. Step 3: Cross multiply
    365.32x = 547.97 × 229.23
  4. Step 4: Simplify right side
    365.32x = 125,609.64
  5. Step 5: Solve for x
    x = 125,609.64/365.32
  6. Step 6: Final answer
    x = 343.84

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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.