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Finding the Fourth Proportional to 365.07, 546.39 and 227.64

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Solution

The fourth proportional to 365.07, 546.39 and 227.64 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.07 : 546.39 = 227.64 : x
  2. Step 2: Convert to fraction form
    365.07/546.39 = 227.64/x
  3. Step 3: Cross multiply
    365.07x = 546.39 × 227.64
  4. Step 4: Simplify right side
    365.07x = 124,380.22
  5. Step 5: Solve for x
    x = 124,380.22/365.07
  6. Step 6: Final answer
    x = 340.70

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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.