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Finding the Fourth Proportional to 520.80, 781.28 and 243.43

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Solution

The fourth proportional to 520.80, 781.28 and 243.43 is: 365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.80 : 781.28 = 243.43 : x
  2. Step 2: Convert to fraction form
    520.80/781.28 = 243.43/x
  3. Step 3: Cross multiply
    520.80x = 781.28 × 243.43
  4. Step 4: Simplify right side
    520.80x = 190,186.99
  5. Step 5: Solve for x
    x = 190,186.99/520.80
  6. Step 6: Final answer
    x = 365.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.