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Finding the Fourth Proportional to 636.43, 877.98 and 415.30

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Solution

The fourth proportional to 636.43, 877.98 and 415.30 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.43 : 877.98 = 415.30 : x
  2. Step 2: Convert to fraction form
    636.43/877.98 = 415.30/x
  3. Step 3: Cross multiply
    636.43x = 877.98 × 415.30
  4. Step 4: Simplify right side
    636.43x = 364,625.09
  5. Step 5: Solve for x
    x = 364,625.09/636.43
  6. Step 6: Final answer
    x = 572.92

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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.