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Finding the Fourth Proportional to 557.66, 769.31 and 361.23

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Solution

The fourth proportional to 557.66, 769.31 and 361.23 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.66 : 769.31 = 361.23 : x
  2. Step 2: Convert to fraction form
    557.66/769.31 = 361.23/x
  3. Step 3: Cross multiply
    557.66x = 769.31 × 361.23
  4. Step 4: Simplify right side
    557.66x = 277,897.85
  5. Step 5: Solve for x
    x = 277,897.85/557.66
  6. Step 6: Final answer
    x = 498.33

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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.