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Finding the Fourth Proportional to 556.95, 768.94 and 357.87

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Solution

The fourth proportional to 556.95, 768.94 and 357.87 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.95 : 768.94 = 357.87 : x
  2. Step 2: Convert to fraction form
    556.95/768.94 = 357.87/x
  3. Step 3: Cross multiply
    556.95x = 768.94 × 357.87
  4. Step 4: Simplify right side
    556.95x = 275,183.82
  5. Step 5: Solve for x
    x = 275,183.82/556.95
  6. Step 6: Final answer
    x = 494.09

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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.