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Finding the Fourth Proportional to 522.91, 784.38 and 214.69

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Solution

The fourth proportional to 522.91, 784.38 and 214.69 is: 322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.91 : 784.38 = 214.69 : x
  2. Step 2: Convert to fraction form
    522.91/784.38 = 214.69/x
  3. Step 3: Cross multiply
    522.91x = 784.38 × 214.69
  4. Step 4: Simplify right side
    522.91x = 168,398.54
  5. Step 5: Solve for x
    x = 168,398.54/522.91
  6. Step 6: Final answer
    x = 322.04

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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.