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Finding the Fourth Proportional to 566.86, 850.72 and 242.46

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Solution

The fourth proportional to 566.86, 850.72 and 242.46 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.86 : 850.72 = 242.46 : x
  2. Step 2: Convert to fraction form
    566.86/850.72 = 242.46/x
  3. Step 3: Cross multiply
    566.86x = 850.72 × 242.46
  4. Step 4: Simplify right side
    566.86x = 206,265.57
  5. Step 5: Solve for x
    x = 206,265.57/566.86
  6. Step 6: Final answer
    x = 363.87

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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.