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Finding the Fourth Proportional to 416.30, 574.61 and 250.47

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Solution

The fourth proportional to 416.30, 574.61 and 250.47 is: 345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 574.61 = 250.47 : x
  2. Step 2: Convert to fraction form
    416.30/574.61 = 250.47/x
  3. Step 3: Cross multiply
    416.30x = 574.61 × 250.47
  4. Step 4: Simplify right side
    416.30x = 143,921.31
  5. Step 5: Solve for x
    x = 143,921.31/416.30
  6. Step 6: Final answer
    x = 345.72

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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.