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Finding the Fourth Proportional to 416.57, 574.68 and 250.68

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Solution

The fourth proportional to 416.57, 574.68 and 250.68 is: 345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.57 : 574.68 = 250.68 : x
  2. Step 2: Convert to fraction form
    416.57/574.68 = 250.68/x
  3. Step 3: Cross multiply
    416.57x = 574.68 × 250.68
  4. Step 4: Simplify right side
    416.57x = 144,062.47
  5. Step 5: Solve for x
    x = 144,062.47/416.57
  6. Step 6: Final answer
    x = 345.83

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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.