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Finding the Fourth Proportional to 521.50, 782.13 and 213.05

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Solution

The fourth proportional to 521.50, 782.13 and 213.05 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.50 : 782.13 = 213.05 : x
  2. Step 2: Convert to fraction form
    521.50/782.13 = 213.05/x
  3. Step 3: Cross multiply
    521.50x = 782.13 × 213.05
  4. Step 4: Simplify right side
    521.50x = 166,628.89
  5. Step 5: Solve for x
    x = 166,628.89/521.50
  6. Step 6: Final answer
    x = 319.52

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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.