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Finding the Fourth Proportional to 482.86, 664.95 and 459.82

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Solution

The fourth proportional to 482.86, 664.95 and 459.82 is: 633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.86 : 664.95 = 459.82 : x
  2. Step 2: Convert to fraction form
    482.86/664.95 = 459.82/x
  3. Step 3: Cross multiply
    482.86x = 664.95 × 459.82
  4. Step 4: Simplify right side
    482.86x = 305,757.31
  5. Step 5: Solve for x
    x = 305,757.31/482.86
  6. Step 6: Final answer
    x = 633.22

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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.