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Finding the Fourth Proportional to 521.70, 782.52 and 213.46

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Solution

The fourth proportional to 521.70, 782.52 and 213.46 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.70 : 782.52 = 213.46 : x
  2. Step 2: Convert to fraction form
    521.70/782.52 = 213.46/x
  3. Step 3: Cross multiply
    521.70x = 782.52 × 213.46
  4. Step 4: Simplify right side
    521.70x = 167,036.72
  5. Step 5: Solve for x
    x = 167,036.72/521.70
  6. Step 6: Final answer
    x = 320.18

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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.