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Finding the Fourth Proportional to 637.22, 879.07 and 416.09

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Solution

The fourth proportional to 637.22, 879.07 and 416.09 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.22 : 879.07 = 416.09 : x
  2. Step 2: Convert to fraction form
    637.22/879.07 = 416.09/x
  3. Step 3: Cross multiply
    637.22x = 879.07 × 416.09
  4. Step 4: Simplify right side
    637.22x = 365,772.24
  5. Step 5: Solve for x
    x = 365,772.24/637.22
  6. Step 6: Final answer
    x = 574.01

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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.