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Finding the Fourth Proportional to 629.71, 942.13 and 423.30

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Solution

The fourth proportional to 629.71, 942.13 and 423.30 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.71 : 942.13 = 423.30 : x
  2. Step 2: Convert to fraction form
    629.71/942.13 = 423.30/x
  3. Step 3: Cross multiply
    629.71x = 942.13 × 423.30
  4. Step 4: Simplify right side
    629.71x = 398,803.63
  5. Step 5: Solve for x
    x = 398,803.63/629.71
  6. Step 6: Final answer
    x = 633.31

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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.