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Finding the Fourth Proportional to 556.98, 768.62 and 308.28

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Solution

The fourth proportional to 556.98, 768.62 and 308.28 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 768.62 = 308.28 : x
  2. Step 2: Convert to fraction form
    556.98/768.62 = 308.28/x
  3. Step 3: Cross multiply
    556.98x = 768.62 × 308.28
  4. Step 4: Simplify right side
    556.98x = 236,948.63
  5. Step 5: Solve for x
    x = 236,948.63/556.98
  6. Step 6: Final answer
    x = 425.42

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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.