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Finding the Fourth Proportional to 566.48, 850.07 and 241.82

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Solution

The fourth proportional to 566.48, 850.07 and 241.82 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.48 : 850.07 = 241.82 : x
  2. Step 2: Convert to fraction form
    566.48/850.07 = 241.82/x
  3. Step 3: Cross multiply
    566.48x = 850.07 × 241.82
  4. Step 4: Simplify right side
    566.48x = 205,563.93
  5. Step 5: Solve for x
    x = 205,563.93/566.48
  6. Step 6: Final answer
    x = 362.88

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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.