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Finding the Fourth Proportional to 484.99, 727.62 and 138.33

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Solution

The fourth proportional to 484.99, 727.62 and 138.33 is: 207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.99 : 727.62 = 138.33 : x
  2. Step 2: Convert to fraction form
    484.99/727.62 = 138.33/x
  3. Step 3: Cross multiply
    484.99x = 727.62 × 138.33
  4. Step 4: Simplify right side
    484.99x = 100,651.67
  5. Step 5: Solve for x
    x = 100,651.67/484.99
  6. Step 6: Final answer
    x = 207.53

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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.