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Finding the Fourth Proportional to 522.38, 783.56 and 214.40

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Solution

The fourth proportional to 522.38, 783.56 and 214.40 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.38 : 783.56 = 214.40 : x
  2. Step 2: Convert to fraction form
    522.38/783.56 = 214.40/x
  3. Step 3: Cross multiply
    522.38x = 783.56 × 214.40
  4. Step 4: Simplify right side
    522.38x = 167,991.88
  5. Step 5: Solve for x
    x = 167,991.88/522.38
  6. Step 6: Final answer
    x = 321.59

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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.