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Finding the Fourth Proportional to 566.49, 850.02 and 241.95

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Solution

The fourth proportional to 566.49, 850.02 and 241.95 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 850.02 = 241.95 : x
  2. Step 2: Convert to fraction form
    566.49/850.02 = 241.95/x
  3. Step 3: Cross multiply
    566.49x = 850.02 × 241.95
  4. Step 4: Simplify right side
    566.49x = 205,662.34
  5. Step 5: Solve for x
    x = 205,662.34/566.49
  6. Step 6: Final answer
    x = 363.05

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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.