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Finding the Fourth Proportional to 611.75, 844.73 and 416.14

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Solution

The fourth proportional to 611.75, 844.73 and 416.14 is: 574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.75 : 844.73 = 416.14 : x
  2. Step 2: Convert to fraction form
    611.75/844.73 = 416.14/x
  3. Step 3: Cross multiply
    611.75x = 844.73 × 416.14
  4. Step 4: Simplify right side
    611.75x = 351,523.31
  5. Step 5: Solve for x
    x = 351,523.31/611.75
  6. Step 6: Final answer
    x = 574.62

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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.