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Finding the Fourth Proportional to 416.74, 574.92 and 250.90

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Solution

The fourth proportional to 416.74, 574.92 and 250.90 is: 346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.74 : 574.92 = 250.90 : x
  2. Step 2: Convert to fraction form
    416.74/574.92 = 250.90/x
  3. Step 3: Cross multiply
    416.74x = 574.92 × 250.90
  4. Step 4: Simplify right side
    416.74x = 144,247.43
  5. Step 5: Solve for x
    x = 144,247.43/416.74
  6. Step 6: Final answer
    x = 346.13

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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.