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Finding the Fourth Proportional to 447.16, 616.72 and 394.74

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Solution

The fourth proportional to 447.16, 616.72 and 394.74 is: 544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.16 : 616.72 = 394.74 : x
  2. Step 2: Convert to fraction form
    447.16/616.72 = 394.74/x
  3. Step 3: Cross multiply
    447.16x = 616.72 × 394.74
  4. Step 4: Simplify right side
    447.16x = 243,444.05
  5. Step 5: Solve for x
    x = 243,444.05/447.16
  6. Step 6: Final answer
    x = 544.42

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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.