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Finding the Fourth Proportional to 635.52, 877.62 and 495.18

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Solution

The fourth proportional to 635.52, 877.62 and 495.18 is: 683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.52 : 877.62 = 495.18 : x
  2. Step 2: Convert to fraction form
    635.52/877.62 = 495.18/x
  3. Step 3: Cross multiply
    635.52x = 877.62 × 495.18
  4. Step 4: Simplify right side
    635.52x = 434,579.87
  5. Step 5: Solve for x
    x = 434,579.87/635.52
  6. Step 6: Final answer
    x = 683.82

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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.