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Finding the Fourth Proportional to 636.69, 877.79 and 459.50

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Solution

The fourth proportional to 636.69, 877.79 and 459.50 is: 633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.69 : 877.79 = 459.50 : x
  2. Step 2: Convert to fraction form
    636.69/877.79 = 459.50/x
  3. Step 3: Cross multiply
    636.69x = 877.79 × 459.50
  4. Step 4: Simplify right side
    636.69x = 403,347.85
  5. Step 5: Solve for x
    x = 403,347.85/636.69
  6. Step 6: Final answer
    x = 633.51

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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.