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Finding the Fourth Proportional to 592.76, 817.99 and 327.22

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Solution

The fourth proportional to 592.76, 817.99 and 327.22 is: 451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.76 : 817.99 = 327.22 : x
  2. Step 2: Convert to fraction form
    592.76/817.99 = 327.22/x
  3. Step 3: Cross multiply
    592.76x = 817.99 × 327.22
  4. Step 4: Simplify right side
    592.76x = 267,666.27
  5. Step 5: Solve for x
    x = 267,666.27/592.76
  6. Step 6: Final answer
    x = 451.56

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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.