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Finding the Fourth Proportional to 522.25, 783.25 and 213.79

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Solution

The fourth proportional to 522.25, 783.25 and 213.79 is: 320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.25 : 783.25 = 213.79 : x
  2. Step 2: Convert to fraction form
    522.25/783.25 = 213.79/x
  3. Step 3: Cross multiply
    522.25x = 783.25 × 213.79
  4. Step 4: Simplify right side
    522.25x = 167,451.02
  5. Step 5: Solve for x
    x = 167,451.02/522.25
  6. Step 6: Final answer
    x = 320.63

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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.