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Finding the Fourth Proportional to 626.32, 938.47 and 420.12

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Solution

The fourth proportional to 626.32, 938.47 and 420.12 is: 629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.32 : 938.47 = 420.12 : x
  2. Step 2: Convert to fraction form
    626.32/938.47 = 420.12/x
  3. Step 3: Cross multiply
    626.32x = 938.47 × 420.12
  4. Step 4: Simplify right side
    626.32x = 394,270.02
  5. Step 5: Solve for x
    x = 394,270.02/626.32
  6. Step 6: Final answer
    x = 629.50

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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.