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Finding the Fourth Proportional to 557.98, 769.61 and 371.37

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Solution

The fourth proportional to 557.98, 769.61 and 371.37 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.98 : 769.61 = 371.37 : x
  2. Step 2: Convert to fraction form
    557.98/769.61 = 371.37/x
  3. Step 3: Cross multiply
    557.98x = 769.61 × 371.37
  4. Step 4: Simplify right side
    557.98x = 285,810.07
  5. Step 5: Solve for x
    x = 285,810.07/557.98
  6. Step 6: Final answer
    x = 512.22

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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.