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Finding the Fourth Proportional to 467.73, 702.14 and 251.73

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Solution

The fourth proportional to 467.73, 702.14 and 251.73 is: 377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.73 : 702.14 = 251.73 : x
  2. Step 2: Convert to fraction form
    467.73/702.14 = 251.73/x
  3. Step 3: Cross multiply
    467.73x = 702.14 × 251.73
  4. Step 4: Simplify right side
    467.73x = 176,749.70
  5. Step 5: Solve for x
    x = 176,749.70/467.73
  6. Step 6: Final answer
    x = 377.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.