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Finding the Fourth Proportional to 592.73, 817.67 and 396.50

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Solution

The fourth proportional to 592.73, 817.67 and 396.50 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.73 : 817.67 = 396.50 : x
  2. Step 2: Convert to fraction form
    592.73/817.67 = 396.50/x
  3. Step 3: Cross multiply
    592.73x = 817.67 × 396.50
  4. Step 4: Simplify right side
    592.73x = 324,200.08
  5. Step 5: Solve for x
    x = 324,200.08/592.73
  6. Step 6: Final answer
    x = 546.97

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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.