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Finding the Fourth Proportional to 566.76, 849.15 and 273.86

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Solution

The fourth proportional to 566.76, 849.15 and 273.86 is: 410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 849.15 = 273.86 : x
  2. Step 2: Convert to fraction form
    566.76/849.15 = 273.86/x
  3. Step 3: Cross multiply
    566.76x = 849.15 × 273.86
  4. Step 4: Simplify right side
    566.76x = 232,548.22
  5. Step 5: Solve for x
    x = 232,548.22/566.76
  6. Step 6: Final answer
    x = 410.31

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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.