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Finding the Fourth Proportional to 636.57, 877.27 and 496.46

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Solution

The fourth proportional to 636.57, 877.27 and 496.46 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.57 : 877.27 = 496.46 : x
  2. Step 2: Convert to fraction form
    636.57/877.27 = 496.46/x
  3. Step 3: Cross multiply
    636.57x = 877.27 × 496.46
  4. Step 4: Simplify right side
    636.57x = 435,532.90
  5. Step 5: Solve for x
    x = 435,532.90/636.57
  6. Step 6: Final answer
    x = 684.19

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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.