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Finding the Fourth Proportional to 447.39, 617.13 and 416.13

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Solution

The fourth proportional to 447.39, 617.13 and 416.13 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 617.13 = 416.13 : x
  2. Step 2: Convert to fraction form
    447.39/617.13 = 416.13/x
  3. Step 3: Cross multiply
    447.39x = 617.13 × 416.13
  4. Step 4: Simplify right side
    447.39x = 256,806.31
  5. Step 5: Solve for x
    x = 256,806.31/447.39
  6. Step 6: Final answer
    x = 574.01

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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.