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Finding the Fourth Proportional to 566.73, 850.23 and 404.73

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Solution

The fourth proportional to 566.73, 850.23 and 404.73 is: 607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.73 : 850.23 = 404.73 : x
  2. Step 2: Convert to fraction form
    566.73/850.23 = 404.73/x
  3. Step 3: Cross multiply
    566.73x = 850.23 × 404.73
  4. Step 4: Simplify right side
    566.73x = 344,113.59
  5. Step 5: Solve for x
    x = 344,113.59/566.73
  6. Step 6: Final answer
    x = 607.19

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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.