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Finding the Fourth Proportional to 520.86, 781.29 and 301.82

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Solution

The fourth proportional to 520.86, 781.29 and 301.82 is: 452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.86 : 781.29 = 301.82 : x
  2. Step 2: Convert to fraction form
    520.86/781.29 = 301.82/x
  3. Step 3: Cross multiply
    520.86x = 781.29 × 301.82
  4. Step 4: Simplify right side
    520.86x = 235,808.95
  5. Step 5: Solve for x
    x = 235,808.95/520.86
  6. Step 6: Final answer
    x = 452.73

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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.