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Finding the Fourth Proportional to 636, 878.07 and 415.56

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Solution

The fourth proportional to 636, 878.07 and 415.56 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    636 : 878.07 = 415.56 : x
  2. Step 2: Convert to fraction form
    636/878.07 = 415.56/x
  3. Step 3: Cross multiply
    636x = 878.07 × 415.56
  4. Step 4: Simplify right side
    636x = 364,890.77
  5. Step 5: Solve for x
    x = 364,890.77/636
  6. Step 6: Final answer
    x = 573.73

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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.