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Finding the Fourth Proportional to 637.22, 878.80 and 416.08

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Solution

The fourth proportional to 637.22, 878.80 and 416.08 is: 573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.22 : 878.80 = 416.08 : x
  2. Step 2: Convert to fraction form
    637.22/878.80 = 416.08/x
  3. Step 3: Cross multiply
    637.22x = 878.80 × 416.08
  4. Step 4: Simplify right side
    637.22x = 365,651.10
  5. Step 5: Solve for x
    x = 365,651.10/637.22
  6. Step 6: Final answer
    x = 573.82

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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.