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Finding the Fourth Proportional to 447.21, 616.84 and 314.71

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Solution

The fourth proportional to 447.21, 616.84 and 314.71 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.21 : 616.84 = 314.71 : x
  2. Step 2: Convert to fraction form
    447.21/616.84 = 314.71/x
  3. Step 3: Cross multiply
    447.21x = 616.84 × 314.71
  4. Step 4: Simplify right side
    447.21x = 194,126.01
  5. Step 5: Solve for x
    x = 194,126.01/447.21
  6. Step 6: Final answer
    x = 434.08

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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.