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Finding the Fourth Proportional to 365.24, 546.77 and 227.95

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Solution

The fourth proportional to 365.24, 546.77 and 227.95 is: 341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 546.77 = 227.95 : x
  2. Step 2: Convert to fraction form
    365.24/546.77 = 227.95/x
  3. Step 3: Cross multiply
    365.24x = 546.77 × 227.95
  4. Step 4: Simplify right side
    365.24x = 124,635.42
  5. Step 5: Solve for x
    x = 124,635.42/365.24
  6. Step 6: Final answer
    x = 341.24

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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.