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Finding the Fourth Proportional to 566.64, 849.18 and 241.59

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Solution

The fourth proportional to 566.64, 849.18 and 241.59 is: 362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.64 : 849.18 = 241.59 : x
  2. Step 2: Convert to fraction form
    566.64/849.18 = 241.59/x
  3. Step 3: Cross multiply
    566.64x = 849.18 × 241.59
  4. Step 4: Simplify right side
    566.64x = 205,153.40
  5. Step 5: Solve for x
    x = 205,153.40/566.64
  6. Step 6: Final answer
    x = 362.05

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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.