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Finding the Fourth Proportional to 592.62, 817.85 and 327.06

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Solution

The fourth proportional to 592.62, 817.85 and 327.06 is: 451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 817.85 = 327.06 : x
  2. Step 2: Convert to fraction form
    592.62/817.85 = 327.06/x
  3. Step 3: Cross multiply
    592.62x = 817.85 × 327.06
  4. Step 4: Simplify right side
    592.62x = 267,486.02
  5. Step 5: Solve for x
    x = 267,486.02/592.62
  6. Step 6: Final answer
    x = 451.36

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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.