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Finding the Fourth Proportional to 495.24, 682.14 and 459.80

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Solution

The fourth proportional to 495.24, 682.14 and 459.80 is: 633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 682.14 = 459.80 : x
  2. Step 2: Convert to fraction form
    495.24/682.14 = 459.80/x
  3. Step 3: Cross multiply
    495.24x = 682.14 × 459.80
  4. Step 4: Simplify right side
    495.24x = 313,647.97
  5. Step 5: Solve for x
    x = 313,647.97/495.24
  6. Step 6: Final answer
    x = 633.33

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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.