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Finding the Fourth Proportional to 522.54, 784.34 and 214.38

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Solution

The fourth proportional to 522.54, 784.34 and 214.38 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 784.34 = 214.38 : x
  2. Step 2: Convert to fraction form
    522.54/784.34 = 214.38/x
  3. Step 3: Cross multiply
    522.54x = 784.34 × 214.38
  4. Step 4: Simplify right side
    522.54x = 168,146.81
  5. Step 5: Solve for x
    x = 168,146.81/522.54
  6. Step 6: Final answer
    x = 321.79

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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.