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Finding the Fourth Proportional to 490.68, 735.93 and 202.14

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Solution

The fourth proportional to 490.68, 735.93 and 202.14 is: 303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.68 : 735.93 = 202.14 : x
  2. Step 2: Convert to fraction form
    490.68/735.93 = 202.14/x
  3. Step 3: Cross multiply
    490.68x = 735.93 × 202.14
  4. Step 4: Simplify right side
    490.68x = 148,760.89
  5. Step 5: Solve for x
    x = 148,760.89/490.68
  6. Step 6: Final answer
    x = 303.17

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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.