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Finding the Fourth Proportional to 842.67, 1,264.37 and 295.25

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Solution

The fourth proportional to 842.67, 1,264.37 and 295.25 is: 442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.67 : 1,264.37 = 295.25 : x
  2. Step 2: Convert to fraction form
    842.67/1,264.37 = 295.25/x
  3. Step 3: Cross multiply
    842.67x = 1,264.37 × 295.25
  4. Step 4: Simplify right side
    842.67x = 373,297.44
  5. Step 5: Solve for x
    x = 373,297.44/842.67
  6. Step 6: Final answer
    x = 442.99

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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.