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Finding the Fourth Proportional to 630.38, 944.63 and 492.82

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Solution

The fourth proportional to 630.38, 944.63 and 492.82 is: 738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.38 : 944.63 = 492.82 : x
  2. Step 2: Convert to fraction form
    630.38/944.63 = 492.82/x
  3. Step 3: Cross multiply
    630.38x = 944.63 × 492.82
  4. Step 4: Simplify right side
    630.38x = 465,525.37
  5. Step 5: Solve for x
    x = 465,525.37/630.38
  6. Step 6: Final answer
    x = 738.48

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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.