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Finding the Fourth Proportional to 636.49, 877.69 and 471.05

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Solution

The fourth proportional to 636.49, 877.69 and 471.05 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.49 : 877.69 = 471.05 : x
  2. Step 2: Convert to fraction form
    636.49/877.69 = 471.05/x
  3. Step 3: Cross multiply
    636.49x = 877.69 × 471.05
  4. Step 4: Simplify right side
    636.49x = 413,435.87
  5. Step 5: Solve for x
    x = 413,435.87/636.49
  6. Step 6: Final answer
    x = 649.56

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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.