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Finding the Fourth Proportional to 557.11, 768.80 and 308.44

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Solution

The fourth proportional to 557.11, 768.80 and 308.44 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.11 : 768.80 = 308.44 : x
  2. Step 2: Convert to fraction form
    557.11/768.80 = 308.44/x
  3. Step 3: Cross multiply
    557.11x = 768.80 × 308.44
  4. Step 4: Simplify right side
    557.11x = 237,128.67
  5. Step 5: Solve for x
    x = 237,128.67/557.11
  6. Step 6: Final answer
    x = 425.64

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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.