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Finding the Fourth Proportional to 523.17, 784.11 and 214.83

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Solution

The fourth proportional to 523.17, 784.11 and 214.83 is: 321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.17 : 784.11 = 214.83 : x
  2. Step 2: Convert to fraction form
    523.17/784.11 = 214.83/x
  3. Step 3: Cross multiply
    523.17x = 784.11 × 214.83
  4. Step 4: Simplify right side
    523.17x = 168,450.35
  5. Step 5: Solve for x
    x = 168,450.35/523.17
  6. Step 6: Final answer
    x = 321.98

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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.