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Finding the Fourth Proportional to 520.76, 781.78 and 243.38

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Solution

The fourth proportional to 520.76, 781.78 and 243.38 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.76 : 781.78 = 243.38 : x
  2. Step 2: Convert to fraction form
    520.76/781.78 = 243.38/x
  3. Step 3: Cross multiply
    520.76x = 781.78 × 243.38
  4. Step 4: Simplify right side
    520.76x = 190,269.62
  5. Step 5: Solve for x
    x = 190,269.62/520.76
  6. Step 6: Final answer
    x = 365.37

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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.