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Finding the Fourth Proportional to 557.94, 769.95 and 361.83

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Solution

The fourth proportional to 557.94, 769.95 and 361.83 is: 499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 769.95 = 361.83 : x
  2. Step 2: Convert to fraction form
    557.94/769.95 = 361.83/x
  3. Step 3: Cross multiply
    557.94x = 769.95 × 361.83
  4. Step 4: Simplify right side
    557.94x = 278,591.01
  5. Step 5: Solve for x
    x = 278,591.01/557.94
  6. Step 6: Final answer
    x = 499.32

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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.