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Finding the Fourth Proportional to 566.63, 849.19 and 241.59

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Solution

The fourth proportional to 566.63, 849.19 and 241.59 is: 362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 849.19 = 241.59 : x
  2. Step 2: Convert to fraction form
    566.63/849.19 = 241.59/x
  3. Step 3: Cross multiply
    566.63x = 849.19 × 241.59
  4. Step 4: Simplify right side
    566.63x = 205,155.81
  5. Step 5: Solve for x
    x = 205,155.81/566.63
  6. Step 6: Final answer
    x = 362.06

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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.