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Finding the Fourth Proportional to 522.20, 783.42 and 214.04

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Solution

The fourth proportional to 522.20, 783.42 and 214.04 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.20 : 783.42 = 214.04 : x
  2. Step 2: Convert to fraction form
    522.20/783.42 = 214.04/x
  3. Step 3: Cross multiply
    522.20x = 783.42 × 214.04
  4. Step 4: Simplify right side
    522.20x = 167,685.58
  5. Step 5: Solve for x
    x = 167,685.58/522.20
  6. Step 6: Final answer
    x = 321.12

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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.