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Finding the Fourth Proportional to 637.22, 879.46 and 405.02

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Solution

The fourth proportional to 637.22, 879.46 and 405.02 is: 558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.22 : 879.46 = 405.02 : x
  2. Step 2: Convert to fraction form
    637.22/879.46 = 405.02/x
  3. Step 3: Cross multiply
    637.22x = 879.46 × 405.02
  4. Step 4: Simplify right side
    637.22x = 356,198.89
  5. Step 5: Solve for x
    x = 356,198.89/637.22
  6. Step 6: Final answer
    x = 558.99

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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.