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Finding the Fourth Proportional to 556.66, 768.29 and 349.54

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Solution

The fourth proportional to 556.66, 768.29 and 349.54 is: 482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.66 : 768.29 = 349.54 : x
  2. Step 2: Convert to fraction form
    556.66/768.29 = 349.54/x
  3. Step 3: Cross multiply
    556.66x = 768.29 × 349.54
  4. Step 4: Simplify right side
    556.66x = 268,548.09
  5. Step 5: Solve for x
    x = 268,548.09/556.66
  6. Step 6: Final answer
    x = 482.43

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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.