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Finding the Fourth Proportional to 566.29, 848.91 and 200.85

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Solution

The fourth proportional to 566.29, 848.91 and 200.85 is: 301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.29 : 848.91 = 200.85 : x
  2. Step 2: Convert to fraction form
    566.29/848.91 = 200.85/x
  3. Step 3: Cross multiply
    566.29x = 848.91 × 200.85
  4. Step 4: Simplify right side
    566.29x = 170,503.57
  5. Step 5: Solve for x
    x = 170,503.57/566.29
  6. Step 6: Final answer
    x = 301.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.