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Finding the Fourth Proportional to 521.70, 782.14 and 213.70

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Solution

The fourth proportional to 521.70, 782.14 and 213.70 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.70 : 782.14 = 213.70 : x
  2. Step 2: Convert to fraction form
    521.70/782.14 = 213.70/x
  3. Step 3: Cross multiply
    521.70x = 782.14 × 213.70
  4. Step 4: Simplify right side
    521.70x = 167,143.32
  5. Step 5: Solve for x
    x = 167,143.32/521.70
  6. Step 6: Final answer
    x = 320.38

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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.