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Finding the Fourth Proportional to 522.84, 784.02 and 214.64

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Solution

The fourth proportional to 522.84, 784.02 and 214.64 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 784.02 = 214.64 : x
  2. Step 2: Convert to fraction form
    522.84/784.02 = 214.64/x
  3. Step 3: Cross multiply
    522.84x = 784.02 × 214.64
  4. Step 4: Simplify right side
    522.84x = 168,282.05
  5. Step 5: Solve for x
    x = 168,282.05/522.84
  6. Step 6: Final answer
    x = 321.86

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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.