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Finding the Fourth Proportional to 416.49, 574.77 and 250.64

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Solution

The fourth proportional to 416.49, 574.77 and 250.64 is: 345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 574.77 = 250.64 : x
  2. Step 2: Convert to fraction form
    416.49/574.77 = 250.64/x
  3. Step 3: Cross multiply
    416.49x = 574.77 × 250.64
  4. Step 4: Simplify right side
    416.49x = 144,057.48
  5. Step 5: Solve for x
    x = 144,057.48/416.49
  6. Step 6: Final answer
    x = 345.88

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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.