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Finding the Fourth Proportional to 566.21, 849.24 and 257.73

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Solution

The fourth proportional to 566.21, 849.24 and 257.73 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.21 : 849.24 = 257.73 : x
  2. Step 2: Convert to fraction form
    566.21/849.24 = 257.73/x
  3. Step 3: Cross multiply
    566.21x = 849.24 × 257.73
  4. Step 4: Simplify right side
    566.21x = 218,874.63
  5. Step 5: Solve for x
    x = 218,874.63/566.21
  6. Step 6: Final answer
    x = 386.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.