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Finding the Fourth Proportional to 303.79, 419.04 and 220.76

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Solution

The fourth proportional to 303.79, 419.04 and 220.76 is: 304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.79 : 419.04 = 220.76 : x
  2. Step 2: Convert to fraction form
    303.79/419.04 = 220.76/x
  3. Step 3: Cross multiply
    303.79x = 419.04 × 220.76
  4. Step 4: Simplify right side
    303.79x = 92,507.27
  5. Step 5: Solve for x
    x = 92,507.27/303.79
  6. Step 6: Final answer
    x = 304.51

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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.