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Finding the Fourth Proportional to 467.68, 702.06 and 251.68

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Solution

The fourth proportional to 467.68, 702.06 and 251.68 is: 377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 702.06 = 251.68 : x
  2. Step 2: Convert to fraction form
    467.68/702.06 = 251.68/x
  3. Step 3: Cross multiply
    467.68x = 702.06 × 251.68
  4. Step 4: Simplify right side
    467.68x = 176,694.46
  5. Step 5: Solve for x
    x = 176,694.46/467.68
  6. Step 6: Final answer
    x = 377.81

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