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Finding the Fourth Proportional to 630.38, 945.63 and 191.63

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Solution

The fourth proportional to 630.38, 945.63 and 191.63 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.38 : 945.63 = 191.63 : x
  2. Step 2: Convert to fraction form
    630.38/945.63 = 191.63/x
  3. Step 3: Cross multiply
    630.38x = 945.63 × 191.63
  4. Step 4: Simplify right side
    630.38x = 181,213.44
  5. Step 5: Solve for x
    x = 181,213.44/630.38
  6. Step 6: Final answer
    x = 287.47

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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.