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Finding the Fourth Proportional to 303.29, 418.73 and 233.22

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Solution

The fourth proportional to 303.29, 418.73 and 233.22 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.29 : 418.73 = 233.22 : x
  2. Step 2: Convert to fraction form
    303.29/418.73 = 233.22/x
  3. Step 3: Cross multiply
    303.29x = 418.73 × 233.22
  4. Step 4: Simplify right side
    303.29x = 97,656.21
  5. Step 5: Solve for x
    x = 97,656.21/303.29
  6. Step 6: Final answer
    x = 321.99

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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.