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Finding the Fourth Proportional to 331.32, 457.01 and 220.76

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Solution

The fourth proportional to 331.32, 457.01 and 220.76 is: 304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.32 : 457.01 = 220.76 : x
  2. Step 2: Convert to fraction form
    331.32/457.01 = 220.76/x
  3. Step 3: Cross multiply
    331.32x = 457.01 × 220.76
  4. Step 4: Simplify right side
    331.32x = 100,886.14
  5. Step 5: Solve for x
    x = 100,886.14/331.32
  6. Step 6: Final answer
    x = 304.50

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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.