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Finding the Fourth Proportional to 847.27, 1,270.59 and 299.31

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Solution

The fourth proportional to 847.27, 1,270.59 and 299.31 is: 448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.27 : 1,270.59 = 299.31 : x
  2. Step 2: Convert to fraction form
    847.27/1,270.59 = 299.31/x
  3. Step 3: Cross multiply
    847.27x = 1,270.59 × 299.31
  4. Step 4: Simplify right side
    847.27x = 380,300.29
  5. Step 5: Solve for x
    x = 380,300.29/847.27
  6. Step 6: Final answer
    x = 448.85

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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.