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Finding the Fourth Proportional to 557.73, 769.23 and 520.47

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Solution

The fourth proportional to 557.73, 769.23 and 520.47 is: 717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.73 : 769.23 = 520.47 : x
  2. Step 2: Convert to fraction form
    557.73/769.23 = 520.47/x
  3. Step 3: Cross multiply
    557.73x = 769.23 × 520.47
  4. Step 4: Simplify right side
    557.73x = 400,361.14
  5. Step 5: Solve for x
    x = 400,361.14/557.73
  6. Step 6: Final answer
    x = 717.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.