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Finding the Fourth Proportional to 636.51, 878.52 and 415.07

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Solution

The fourth proportional to 636.51, 878.52 and 415.07 is: 572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.51 : 878.52 = 415.07 : x
  2. Step 2: Convert to fraction form
    636.51/878.52 = 415.07/x
  3. Step 3: Cross multiply
    636.51x = 878.52 × 415.07
  4. Step 4: Simplify right side
    636.51x = 364,642.90
  5. Step 5: Solve for x
    x = 364,642.90/636.51
  6. Step 6: Final answer
    x = 572.88

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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.