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Finding the Fourth Proportional to 592.27, 817.29 and 326.71

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Solution

The fourth proportional to 592.27, 817.29 and 326.71 is: 450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.27 : 817.29 = 326.71 : x
  2. Step 2: Convert to fraction form
    592.27/817.29 = 326.71/x
  3. Step 3: Cross multiply
    592.27x = 817.29 × 326.71
  4. Step 4: Simplify right side
    592.27x = 267,020.95
  5. Step 5: Solve for x
    x = 267,020.95/592.27
  6. Step 6: Final answer
    x = 450.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.