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Finding the Fourth Proportional to 584.82, 806.82 and 538.20

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Solution

The fourth proportional to 584.82, 806.82 and 538.20 is: 742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 806.82 = 538.20 : x
  2. Step 2: Convert to fraction form
    584.82/806.82 = 538.20/x
  3. Step 3: Cross multiply
    584.82x = 806.82 × 538.20
  4. Step 4: Simplify right side
    584.82x = 434,230.52
  5. Step 5: Solve for x
    x = 434,230.52/584.82
  6. Step 6: Final answer
    x = 742.50

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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.