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Finding the Fourth Proportional to 556.56, 768.20 and 349.52

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Solution

The fourth proportional to 556.56, 768.20 and 349.52 is: 482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 768.20 = 349.52 : x
  2. Step 2: Convert to fraction form
    556.56/768.20 = 349.52/x
  3. Step 3: Cross multiply
    556.56x = 768.20 × 349.52
  4. Step 4: Simplify right side
    556.56x = 268,501.26
  5. Step 5: Solve for x
    x = 268,501.26/556.56
  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.