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Finding the Fourth Proportional to 636.14, 877.08 and 411.70

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Solution

The fourth proportional to 636.14, 877.08 and 411.70 is: 567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.14 : 877.08 = 411.70 : x
  2. Step 2: Convert to fraction form
    636.14/877.08 = 411.70/x
  3. Step 3: Cross multiply
    636.14x = 877.08 × 411.70
  4. Step 4: Simplify right side
    636.14x = 361,092.52
  5. Step 5: Solve for x
    x = 361,092.52/636.14
  6. Step 6: Final answer
    x = 567.63

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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.