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Finding the Fourth Proportional to 566.89, 850.49 and 512.67

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Solution

The fourth proportional to 566.89, 850.49 and 512.67 is: 769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.89 : 850.49 = 512.67 : x
  2. Step 2: Convert to fraction form
    566.89/850.49 = 512.67/x
  3. Step 3: Cross multiply
    566.89x = 850.49 × 512.67
  4. Step 4: Simplify right side
    566.89x = 436,018.14
  5. Step 5: Solve for x
    x = 436,018.14/566.89
  6. Step 6: Final answer
    x = 769.14

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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.