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Finding the Fourth Proportional to 557.74, 768.38 and 391.66

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Solution

The fourth proportional to 557.74, 768.38 and 391.66 is: 539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.74 : 768.38 = 391.66 : x
  2. Step 2: Convert to fraction form
    557.74/768.38 = 391.66/x
  3. Step 3: Cross multiply
    557.74x = 768.38 × 391.66
  4. Step 4: Simplify right side
    557.74x = 300,943.71
  5. Step 5: Solve for x
    x = 300,943.71/557.74
  6. Step 6: Final answer
    x = 539.58

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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.