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Finding the Fourth Proportional to 416.80, 575.14 and 250.92

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Solution

The fourth proportional to 416.80, 575.14 and 250.92 is: 346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.80 : 575.14 = 250.92 : x
  2. Step 2: Convert to fraction form
    416.80/575.14 = 250.92/x
  3. Step 3: Cross multiply
    416.80x = 575.14 × 250.92
  4. Step 4: Simplify right side
    416.80x = 144,314.13
  5. Step 5: Solve for x
    x = 144,314.13/416.80
  6. Step 6: Final answer
    x = 346.24

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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.