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Finding the Fourth Proportional to 521.68, 782.46 and 213.32

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Solution

The fourth proportional to 521.68, 782.46 and 213.32 is: 319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.68 : 782.46 = 213.32 : x
  2. Step 2: Convert to fraction form
    521.68/782.46 = 213.32/x
  3. Step 3: Cross multiply
    521.68x = 782.46 × 213.32
  4. Step 4: Simplify right side
    521.68x = 166,914.37
  5. Step 5: Solve for x
    x = 166,914.37/521.68
  6. Step 6: Final answer
    x = 319.96

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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.