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Finding the Fourth Proportional to 557.06, 768.69 and 308.36

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Solution

The fourth proportional to 557.06, 768.69 and 308.36 is: 425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.06 : 768.69 = 308.36 : x
  2. Step 2: Convert to fraction form
    557.06/768.69 = 308.36/x
  3. Step 3: Cross multiply
    557.06x = 768.69 × 308.36
  4. Step 4: Simplify right side
    557.06x = 237,033.25
  5. Step 5: Solve for x
    x = 237,033.25/557.06
  6. Step 6: Final answer
    x = 425.51

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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.