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Finding the Fourth Proportional to 557.08, 768.34 and 391.12

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Solution

The fourth proportional to 557.08, 768.34 and 391.12 is: 539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.08 : 768.34 = 391.12 : x
  2. Step 2: Convert to fraction form
    557.08/768.34 = 391.12/x
  3. Step 3: Cross multiply
    557.08x = 768.34 × 391.12
  4. Step 4: Simplify right side
    557.08x = 300,513.14
  5. Step 5: Solve for x
    x = 300,513.14/557.08
  6. Step 6: Final answer
    x = 539.44

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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.