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Finding the Fourth Proportional to 557.78, 769.72 and 361.28

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Solution

The fourth proportional to 557.78, 769.72 and 361.28 is: 498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 769.72 = 361.28 : x
  2. Step 2: Convert to fraction form
    557.78/769.72 = 361.28/x
  3. Step 3: Cross multiply
    557.78x = 769.72 × 361.28
  4. Step 4: Simplify right side
    557.78x = 278,084.44
  5. Step 5: Solve for x
    x = 278,084.44/557.78
  6. Step 6: Final answer
    x = 498.56

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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.