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Finding the Fourth Proportional to 303.83, 421.26 and 287.43

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Solution

The fourth proportional to 303.83, 421.26 and 287.43 is: 398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.83 : 421.26 = 287.43 : x
  2. Step 2: Convert to fraction form
    303.83/421.26 = 287.43/x
  3. Step 3: Cross multiply
    303.83x = 421.26 × 287.43
  4. Step 4: Simplify right side
    303.83x = 121,082.76
  5. Step 5: Solve for x
    x = 121,082.76/303.83
  6. Step 6: Final answer
    x = 398.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.