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Finding the Fourth Proportional to 522.84, 784.44 and 214.59

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Solution

The fourth proportional to 522.84, 784.44 and 214.59 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 784.44 = 214.59 : x
  2. Step 2: Convert to fraction form
    522.84/784.44 = 214.59/x
  3. Step 3: Cross multiply
    522.84x = 784.44 × 214.59
  4. Step 4: Simplify right side
    522.84x = 168,332.98
  5. Step 5: Solve for x
    x = 168,332.98/522.84
  6. Step 6: Final answer
    x = 321.96

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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.