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Finding the Fourth Proportional to 556.56, 768.42 and 360.36

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Solution

The fourth proportional to 556.56, 768.42 and 360.36 is: 497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 768.42 = 360.36 : x
  2. Step 2: Convert to fraction form
    556.56/768.42 = 360.36/x
  3. Step 3: Cross multiply
    556.56x = 768.42 × 360.36
  4. Step 4: Simplify right side
    556.56x = 276,907.83
  5. Step 5: Solve for x
    x = 276,907.83/556.56
  6. Step 6: Final answer
    x = 497.53

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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.