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Finding the Fourth Proportional to 636.39, 877.77 and 470.61

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Solution

The fourth proportional to 636.39, 877.77 and 470.61 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.39 : 877.77 = 470.61 : x
  2. Step 2: Convert to fraction form
    636.39/877.77 = 470.61/x
  3. Step 3: Cross multiply
    636.39x = 877.77 × 470.61
  4. Step 4: Simplify right side
    636.39x = 413,087.34
  5. Step 5: Solve for x
    x = 413,087.34/636.39
  6. Step 6: Final answer
    x = 649.11

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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.