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Finding the Fourth Proportional to 416.78, 574.89 and 251.05

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Solution

The fourth proportional to 416.78, 574.89 and 251.05 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 574.89 = 251.05 : x
  2. Step 2: Convert to fraction form
    416.78/574.89 = 251.05/x
  3. Step 3: Cross multiply
    416.78x = 574.89 × 251.05
  4. Step 4: Simplify right side
    416.78x = 144,323.26
  5. Step 5: Solve for x
    x = 144,323.26/416.78
  6. Step 6: Final answer
    x = 346.28

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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.