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Finding the Fourth Proportional to 310.69, 428.65 and 232.12

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Solution

The fourth proportional to 310.69, 428.65 and 232.12 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.69 : 428.65 = 232.12 : x
  2. Step 2: Convert to fraction form
    310.69/428.65 = 232.12/x
  3. Step 3: Cross multiply
    310.69x = 428.65 × 232.12
  4. Step 4: Simplify right side
    310.69x = 99,498.24
  5. Step 5: Solve for x
    x = 99,498.24/310.69
  6. Step 6: Final answer
    x = 320.25

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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.