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Finding the Fourth Proportional to 557.26, 768.51 and 388.94

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Solution

The fourth proportional to 557.26, 768.51 and 388.94 is: 536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.26 : 768.51 = 388.94 : x
  2. Step 2: Convert to fraction form
    557.26/768.51 = 388.94/x
  3. Step 3: Cross multiply
    557.26x = 768.51 × 388.94
  4. Step 4: Simplify right side
    557.26x = 298,900.44
  5. Step 5: Solve for x
    x = 298,900.44/557.26
  6. Step 6: Final answer
    x = 536.38

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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.