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Finding the Fourth Proportional to 566.82, 782.19 and 333.95

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Solution

The fourth proportional to 566.82, 782.19 and 333.95 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 782.19 = 333.95 : x
  2. Step 2: Convert to fraction form
    566.82/782.19 = 333.95/x
  3. Step 3: Cross multiply
    566.82x = 782.19 × 333.95
  4. Step 4: Simplify right side
    566.82x = 261,208.44
  5. Step 5: Solve for x
    x = 261,208.44/566.82
  6. Step 6: Final answer
    x = 460.83

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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.