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Finding the Fourth Proportional to 561.98, 773.92 and 482.66

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Solution

The fourth proportional to 561.98, 773.92 and 482.66 is: 664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.98 : 773.92 = 482.66 : x
  2. Step 2: Convert to fraction form
    561.98/773.92 = 482.66/x
  3. Step 3: Cross multiply
    561.98x = 773.92 × 482.66
  4. Step 4: Simplify right side
    561.98x = 373,540.23
  5. Step 5: Solve for x
    x = 373,540.23/561.98
  6. Step 6: Final answer
    x = 664.69

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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.