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Finding the Fourth Proportional to 310.71, 428.90 and 233.31

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Solution

The fourth proportional to 310.71, 428.90 and 233.31 is: 322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.71 : 428.90 = 233.31 : x
  2. Step 2: Convert to fraction form
    310.71/428.90 = 233.31/x
  3. Step 3: Cross multiply
    310.71x = 428.90 × 233.31
  4. Step 4: Simplify right side
    310.71x = 100,066.66
  5. Step 5: Solve for x
    x = 100,066.66/310.71
  6. Step 6: Final answer
    x = 322.06

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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.