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Finding the Fourth Proportional to 556.78, 768.47 and 335.76

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Solution

The fourth proportional to 556.78, 768.47 and 335.76 is: 463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.78 : 768.47 = 335.76 : x
  2. Step 2: Convert to fraction form
    556.78/768.47 = 335.76/x
  3. Step 3: Cross multiply
    556.78x = 768.47 × 335.76
  4. Step 4: Simplify right side
    556.78x = 258,021.49
  5. Step 5: Solve for x
    x = 258,021.49/556.78
  6. Step 6: Final answer
    x = 463.42

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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.