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Finding the Fourth Proportional to 521.84, 782.96 and 213.83

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Solution

The fourth proportional to 521.84, 782.96 and 213.83 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.84 : 782.96 = 213.83 : x
  2. Step 2: Convert to fraction form
    521.84/782.96 = 213.83/x
  3. Step 3: Cross multiply
    521.84x = 782.96 × 213.83
  4. Step 4: Simplify right side
    521.84x = 167,421.23
  5. Step 5: Solve for x
    x = 167,421.23/521.84
  6. Step 6: Final answer
    x = 320.83

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Why These Related Problems?

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