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Finding the Fourth Proportional to 637.23, 879.24 and 416.51

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Solution

The fourth proportional to 637.23, 879.24 and 416.51 is: 574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.23 : 879.24 = 416.51 : x
  2. Step 2: Convert to fraction form
    637.23/879.24 = 416.51/x
  3. Step 3: Cross multiply
    637.23x = 879.24 × 416.51
  4. Step 4: Simplify right side
    637.23x = 366,207.86
  5. Step 5: Solve for x
    x = 366,207.86/637.23
  6. Step 6: Final answer
    x = 574.69

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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.