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Finding the Fourth Proportional to 566.56, 849.28 and 273.64

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Solution

The fourth proportional to 566.56, 849.28 and 273.64 is: 410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.56 : 849.28 = 273.64 : x
  2. Step 2: Convert to fraction form
    566.56/849.28 = 273.64/x
  3. Step 3: Cross multiply
    566.56x = 849.28 × 273.64
  4. Step 4: Simplify right side
    566.56x = 232,396.98
  5. Step 5: Solve for x
    x = 232,396.98/566.56
  6. Step 6: Final answer
    x = 410.19

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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.