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Finding the Fourth Proportional to 591.78, 888.08 and 566.67

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Solution

The fourth proportional to 591.78, 888.08 and 566.67 is: 850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.78 : 888.08 = 566.67 : x
  2. Step 2: Convert to fraction form
    591.78/888.08 = 566.67/x
  3. Step 3: Cross multiply
    591.78x = 888.08 × 566.67
  4. Step 4: Simplify right side
    591.78x = 503,245.46
  5. Step 5: Solve for x
    x = 503,245.46/591.78
  6. Step 6: Final answer
    x = 850.39

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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.