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Finding the Fourth Proportional to 523.08, 784.17 and 214.74

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Solution

The fourth proportional to 523.08, 784.17 and 214.74 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 784.17 = 214.74 : x
  2. Step 2: Convert to fraction form
    523.08/784.17 = 214.74/x
  3. Step 3: Cross multiply
    523.08x = 784.17 × 214.74
  4. Step 4: Simplify right side
    523.08x = 168,392.67
  5. Step 5: Solve for x
    x = 168,392.67/523.08
  6. Step 6: Final answer
    x = 321.93

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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.