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Finding the Fourth Proportional to 521.94, 782.96 and 213.81

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Solution

The fourth proportional to 521.94, 782.96 and 213.81 is: 320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.94 : 782.96 = 213.81 : x
  2. Step 2: Convert to fraction form
    521.94/782.96 = 213.81/x
  3. Step 3: Cross multiply
    521.94x = 782.96 × 213.81
  4. Step 4: Simplify right side
    521.94x = 167,403.61
  5. Step 5: Solve for x
    x = 167,403.61/521.94
  6. Step 6: Final answer
    x = 320.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.