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Finding the Fourth Proportional to 557.37, 769.49 and 495.86

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Solution

The fourth proportional to 557.37, 769.49 and 495.86 is: 684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.37 : 769.49 = 495.86 : x
  2. Step 2: Convert to fraction form
    557.37/769.49 = 495.86/x
  3. Step 3: Cross multiply
    557.37x = 769.49 × 495.86
  4. Step 4: Simplify right side
    557.37x = 381,552.98
  5. Step 5: Solve for x
    x = 381,552.98/557.37
  6. Step 6: Final answer
    x = 684.56

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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.