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Finding the Fourth Proportional to 310.25, 428.42 and 233.03

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Solution

The fourth proportional to 310.25, 428.42 and 233.03 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.25 : 428.42 = 233.03 : x
  2. Step 2: Convert to fraction form
    310.25/428.42 = 233.03/x
  3. Step 3: Cross multiply
    310.25x = 428.42 × 233.03
  4. Step 4: Simplify right side
    310.25x = 99,834.71
  5. Step 5: Solve for x
    x = 99,834.71/310.25
  6. Step 6: Final answer
    x = 321.79

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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.