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Finding the Fourth Proportional to 520.77, 781.33 and 301.66

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Solution

The fourth proportional to 520.77, 781.33 and 301.66 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.77 : 781.33 = 301.66 : x
  2. Step 2: Convert to fraction form
    520.77/781.33 = 301.66/x
  3. Step 3: Cross multiply
    520.77x = 781.33 × 301.66
  4. Step 4: Simplify right side
    520.77x = 235,696.01
  5. Step 5: Solve for x
    x = 235,696.01/520.77
  6. Step 6: Final answer
    x = 452.59

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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.