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Finding the Fourth Proportional to 416.69, 575.26 and 250.94

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Solution

The fourth proportional to 416.69, 575.26 and 250.94 is: 346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.69 : 575.26 = 250.94 : x
  2. Step 2: Convert to fraction form
    416.69/575.26 = 250.94/x
  3. Step 3: Cross multiply
    416.69x = 575.26 × 250.94
  4. Step 4: Simplify right side
    416.69x = 144,355.74
  5. Step 5: Solve for x
    x = 144,355.74/416.69
  6. Step 6: Final answer
    x = 346.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.