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Finding the Fourth Proportional to 484.24, 726.27 and 191.87

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Solution

The fourth proportional to 484.24, 726.27 and 191.87 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.24 : 726.27 = 191.87 : x
  2. Step 2: Convert to fraction form
    484.24/726.27 = 191.87/x
  3. Step 3: Cross multiply
    484.24x = 726.27 × 191.87
  4. Step 4: Simplify right side
    484.24x = 139,349.42
  5. Step 5: Solve for x
    x = 139,349.42/484.24
  6. Step 6: Final answer
    x = 287.77

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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.