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Finding the Fourth Proportional to 312.69, 428.97 and 310.17

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Solution

The fourth proportional to 312.69, 428.97 and 310.17 is: 425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.69 : 428.97 = 310.17 : x
  2. Step 2: Convert to fraction form
    312.69/428.97 = 310.17/x
  3. Step 3: Cross multiply
    312.69x = 428.97 × 310.17
  4. Step 4: Simplify right side
    312.69x = 133,053.62
  5. Step 5: Solve for x
    x = 133,053.62/312.69
  6. Step 6: Final answer
    x = 425.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.