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Finding the Fourth Proportional to 416.00, 574.18 and 250.31

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Solution

The fourth proportional to 416.00, 574.18 and 250.31 is: 345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.00 : 574.18 = 250.31 : x
  2. Step 2: Convert to fraction form
    416.00/574.18 = 250.31/x
  3. Step 3: Cross multiply
    416.00x = 574.18 × 250.31
  4. Step 4: Simplify right side
    416.00x = 143,723.02
  5. Step 5: Solve for x
    x = 143,723.02/416.00
  6. Step 6: Final answer
    x = 345.49

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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.