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Finding the Fourth Proportional to 556.82, 768.10 and 347.03

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Solution

The fourth proportional to 556.82, 768.10 and 347.03 is: 478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.82 : 768.10 = 347.03 : x
  2. Step 2: Convert to fraction form
    556.82/768.10 = 347.03/x
  3. Step 3: Cross multiply
    556.82x = 768.10 × 347.03
  4. Step 4: Simplify right side
    556.82x = 266,553.74
  5. Step 5: Solve for x
    x = 266,553.74/556.82
  6. Step 6: Final answer
    x = 478.71

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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.