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Finding the Fourth Proportional to 852.05, 1,277.98 and 235.85

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Solution

The fourth proportional to 852.05, 1,277.98 and 235.85 is: 353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.05 : 1,277.98 = 235.85 : x
  2. Step 2: Convert to fraction form
    852.05/1,277.98 = 235.85/x
  3. Step 3: Cross multiply
    852.05x = 1,277.98 × 235.85
  4. Step 4: Simplify right side
    852.05x = 301,404.60
  5. Step 5: Solve for x
    x = 301,404.60/852.05
  6. Step 6: Final answer
    x = 353.74

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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.