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Finding the Fourth Proportional to 627.83, 940.78 and 319.22

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Solution

The fourth proportional to 627.83, 940.78 and 319.22 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.83 : 940.78 = 319.22 : x
  2. Step 2: Convert to fraction form
    627.83/940.78 = 319.22/x
  3. Step 3: Cross multiply
    627.83x = 940.78 × 319.22
  4. Step 4: Simplify right side
    627.83x = 300,315.79
  5. Step 5: Solve for x
    x = 300,315.79/627.83
  6. Step 6: Final answer
    x = 478.34

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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.