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Finding the Fourth Proportional to 395.69, 546.07 and 221.03

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Solution

The fourth proportional to 395.69, 546.07 and 221.03 is: 305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.69 : 546.07 = 221.03 : x
  2. Step 2: Convert to fraction form
    395.69/546.07 = 221.03/x
  3. Step 3: Cross multiply
    395.69x = 546.07 × 221.03
  4. Step 4: Simplify right side
    395.69x = 120,697.85
  5. Step 5: Solve for x
    x = 120,697.85/395.69
  6. Step 6: Final answer
    x = 305.03

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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.