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Finding the Fourth Proportional to 556.81, 768.41 and 308.13

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Solution

The fourth proportional to 556.81, 768.41 and 308.13 is: 425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.81 : 768.41 = 308.13 : x
  2. Step 2: Convert to fraction form
    556.81/768.41 = 308.13/x
  3. Step 3: Cross multiply
    556.81x = 768.41 × 308.13
  4. Step 4: Simplify right side
    556.81x = 236,770.17
  5. Step 5: Solve for x
    x = 236,770.17/556.81
  6. Step 6: Final answer
    x = 425.23

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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.