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Finding the Fourth Proportional to 490.80, 735.57 and 247.47

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Solution

The fourth proportional to 490.80, 735.57 and 247.47 is: 370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.80 : 735.57 = 247.47 : x
  2. Step 2: Convert to fraction form
    490.80/735.57 = 247.47/x
  3. Step 3: Cross multiply
    490.80x = 735.57 × 247.47
  4. Step 4: Simplify right side
    490.80x = 182,031.51
  5. Step 5: Solve for x
    x = 182,031.51/490.80
  6. Step 6: Final answer
    x = 370.89

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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.