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Finding the Fourth Proportional to 556.92, 768.57 and 335.83

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Solution

The fourth proportional to 556.92, 768.57 and 335.83 is: 463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 768.57 = 335.83 : x
  2. Step 2: Convert to fraction form
    556.92/768.57 = 335.83/x
  3. Step 3: Cross multiply
    556.92x = 768.57 × 335.83
  4. Step 4: Simplify right side
    556.92x = 258,105.68
  5. Step 5: Solve for x
    x = 258,105.68/556.92
  6. Step 6: Final answer
    x = 463.45

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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.