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Finding the Fourth Proportional to 566.55, 850.19 and 242.19

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Solution

The fourth proportional to 566.55, 850.19 and 242.19 is: 363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.55 : 850.19 = 242.19 : x
  2. Step 2: Convert to fraction form
    566.55/850.19 = 242.19/x
  3. Step 3: Cross multiply
    566.55x = 850.19 × 242.19
  4. Step 4: Simplify right side
    566.55x = 205,906.31
  5. Step 5: Solve for x
    x = 205,906.31/566.55
  6. Step 6: Final answer
    x = 363.44

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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.