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Finding the Fourth Proportional to 520.78, 781.24 and 174.22

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Solution

The fourth proportional to 520.78, 781.24 and 174.22 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.78 : 781.24 = 174.22 : x
  2. Step 2: Convert to fraction form
    520.78/781.24 = 174.22/x
  3. Step 3: Cross multiply
    520.78x = 781.24 × 174.22
  4. Step 4: Simplify right side
    520.78x = 136,107.63
  5. Step 5: Solve for x
    x = 136,107.63/520.78
  6. Step 6: Final answer
    x = 261.35

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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.