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Finding the Fourth Proportional to 557.16, 768.89 and 308.49

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Solution

The fourth proportional to 557.16, 768.89 and 308.49 is: 425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.16 : 768.89 = 308.49 : x
  2. Step 2: Convert to fraction form
    557.16/768.89 = 308.49/x
  3. Step 3: Cross multiply
    557.16x = 768.89 × 308.49
  4. Step 4: Simplify right side
    557.16x = 237,193.33
  5. Step 5: Solve for x
    x = 237,193.33/557.16
  6. Step 6: Final answer
    x = 425.72

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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.