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Finding the Fourth Proportional to 490.64, 734.08 and 294.92

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Solution

The fourth proportional to 490.64, 734.08 and 294.92 is: 441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.64 : 734.08 = 294.92 : x
  2. Step 2: Convert to fraction form
    490.64/734.08 = 294.92/x
  3. Step 3: Cross multiply
    490.64x = 734.08 × 294.92
  4. Step 4: Simplify right side
    490.64x = 216,494.87
  5. Step 5: Solve for x
    x = 216,494.87/490.64
  6. Step 6: Final answer
    x = 441.25

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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.