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Finding the Fourth Proportional to 521.34, 782.01 and 213.34

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Solution

The fourth proportional to 521.34, 782.01 and 213.34 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.34 : 782.01 = 213.34 : x
  2. Step 2: Convert to fraction form
    521.34/782.01 = 213.34/x
  3. Step 3: Cross multiply
    521.34x = 782.01 × 213.34
  4. Step 4: Simplify right side
    521.34x = 166,832.06
  5. Step 5: Solve for x
    x = 166,832.06/521.34
  6. Step 6: Final answer
    x = 320.01

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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.