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Finding the Fourth Proportional to 523.18, 784.09 and 214.68

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Solution

The fourth proportional to 523.18, 784.09 and 214.68 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.18 : 784.09 = 214.68 : x
  2. Step 2: Convert to fraction form
    523.18/784.09 = 214.68/x
  3. Step 3: Cross multiply
    523.18x = 784.09 × 214.68
  4. Step 4: Simplify right side
    523.18x = 168,327.90
  5. Step 5: Solve for x
    x = 168,327.90/523.18
  6. Step 6: Final answer
    x = 321.74

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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.