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Finding the Fourth Proportional to 521.88, 782.70 and 213.64

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Solution

The fourth proportional to 521.88, 782.70 and 213.64 is: 320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 782.70 = 213.64 : x
  2. Step 2: Convert to fraction form
    521.88/782.70 = 213.64/x
  3. Step 3: Cross multiply
    521.88x = 782.70 × 213.64
  4. Step 4: Simplify right side
    521.88x = 167,216.03
  5. Step 5: Solve for x
    x = 167,216.03/521.88
  6. Step 6: Final answer
    x = 320.41

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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.