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Finding the Fourth Proportional to 447.42, 616.09 and 388.34

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Solution

The fourth proportional to 447.42, 616.09 and 388.34 is: 534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 616.09 = 388.34 : x
  2. Step 2: Convert to fraction form
    447.42/616.09 = 388.34/x
  3. Step 3: Cross multiply
    447.42x = 616.09 × 388.34
  4. Step 4: Simplify right side
    447.42x = 239,250.45
  5. Step 5: Solve for x
    x = 239,250.45/447.42
  6. Step 6: Final answer
    x = 534.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.