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Finding the Fourth Proportional to 416.49, 574.67 and 250.71

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Solution

The fourth proportional to 416.49, 574.67 and 250.71 is: 345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 574.67 = 250.71 : x
  2. Step 2: Convert to fraction form
    416.49/574.67 = 250.71/x
  3. Step 3: Cross multiply
    416.49x = 574.67 × 250.71
  4. Step 4: Simplify right side
    416.49x = 144,074.26
  5. Step 5: Solve for x
    x = 144,074.26/416.49
  6. Step 6: Final answer
    x = 345.92

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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.