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Finding the Fourth Proportional to 484.25, 726.32 and 240.93

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Solution

The fourth proportional to 484.25, 726.32 and 240.93 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.25 : 726.32 = 240.93 : x
  2. Step 2: Convert to fraction form
    484.25/726.32 = 240.93/x
  3. Step 3: Cross multiply
    484.25x = 726.32 × 240.93
  4. Step 4: Simplify right side
    484.25x = 174,991.07
  5. Step 5: Solve for x
    x = 174,991.07/484.25
  6. Step 6: Final answer
    x = 361.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.