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Finding the Fourth Proportional to 490.14, 734.60 and 477.98

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Solution

The fourth proportional to 490.14, 734.60 and 477.98 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.14 : 734.60 = 477.98 : x
  2. Step 2: Convert to fraction form
    490.14/734.60 = 477.98/x
  3. Step 3: Cross multiply
    490.14x = 734.60 × 477.98
  4. Step 4: Simplify right side
    490.14x = 351,124.11
  5. Step 5: Solve for x
    x = 351,124.11/490.14
  6. Step 6: Final answer
    x = 716.38

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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.