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Finding the Fourth Proportional to 566.29, 849.39 and 241.66

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Solution

The fourth proportional to 566.29, 849.39 and 241.66 is: 362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.29 : 849.39 = 241.66 : x
  2. Step 2: Convert to fraction form
    566.29/849.39 = 241.66/x
  3. Step 3: Cross multiply
    566.29x = 849.39 × 241.66
  4. Step 4: Simplify right side
    566.29x = 205,263.59
  5. Step 5: Solve for x
    x = 205,263.59/566.29
  6. Step 6: Final answer
    x = 362.47

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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.