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Finding the Fourth Proportional to 556.07, 768.56 and 409.73

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Solution

The fourth proportional to 556.07, 768.56 and 409.73 is: 566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.07 : 768.56 = 409.73 : x
  2. Step 2: Convert to fraction form
    556.07/768.56 = 409.73/x
  3. Step 3: Cross multiply
    556.07x = 768.56 × 409.73
  4. Step 4: Simplify right side
    556.07x = 314,896.20
  5. Step 5: Solve for x
    x = 314,896.20/556.07
  6. Step 6: Final answer
    x = 566.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.