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Finding the Fourth Proportional to 528.70, 791.96 and 522.22

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Solution

The fourth proportional to 528.70, 791.96 and 522.22 is: 782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.70 : 791.96 = 522.22 : x
  2. Step 2: Convert to fraction form
    528.70/791.96 = 522.22/x
  3. Step 3: Cross multiply
    528.70x = 791.96 × 522.22
  4. Step 4: Simplify right side
    528.70x = 413,577.35
  5. Step 5: Solve for x
    x = 413,577.35/528.70
  6. Step 6: Final answer
    x = 782.25

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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.