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Finding the Fourth Proportional to 627.62, 942.30 and 319.71

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Solution

The fourth proportional to 627.62, 942.30 and 319.71 is: 480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.62 : 942.30 = 319.71 : x
  2. Step 2: Convert to fraction form
    627.62/942.30 = 319.71/x
  3. Step 3: Cross multiply
    627.62x = 942.30 × 319.71
  4. Step 4: Simplify right side
    627.62x = 301,266.27
  5. Step 5: Solve for x
    x = 301,266.27/627.62
  6. Step 6: Final answer
    x = 480.02

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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.