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Finding the Fourth Proportional to 557.14, 768.86 and 308.47

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Solution

The fourth proportional to 557.14, 768.86 and 308.47 is: 425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.14 : 768.86 = 308.47 : x
  2. Step 2: Convert to fraction form
    557.14/768.86 = 308.47/x
  3. Step 3: Cross multiply
    557.14x = 768.86 × 308.47
  4. Step 4: Simplify right side
    557.14x = 237,170.24
  5. Step 5: Solve for x
    x = 237,170.24/557.14
  6. Step 6: Final answer
    x = 425.69

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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.