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Finding the Fourth Proportional to 312.69, 466.31 and 277.73

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Solution

The fourth proportional to 312.69, 466.31 and 277.73 is: 414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.69 : 466.31 = 277.73 : x
  2. Step 2: Convert to fraction form
    312.69/466.31 = 277.73/x
  3. Step 3: Cross multiply
    312.69x = 466.31 × 277.73
  4. Step 4: Simplify right side
    312.69x = 129,506.64
  5. Step 5: Solve for x
    x = 129,506.64/312.69
  6. Step 6: Final answer
    x = 414.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.