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Finding the Fourth Proportional to 566.27, 850.42 and 371.67

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Solution

The fourth proportional to 566.27, 850.42 and 371.67 is: 558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.27 : 850.42 = 371.67 : x
  2. Step 2: Convert to fraction form
    566.27/850.42 = 371.67/x
  3. Step 3: Cross multiply
    566.27x = 850.42 × 371.67
  4. Step 4: Simplify right side
    566.27x = 316,078.71
  5. Step 5: Solve for x
    x = 316,078.71/566.27
  6. Step 6: Final answer
    x = 558.17

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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.