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Finding the Fourth Proportional to 874.03, 1,311.15 and 288.90

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Solution

The fourth proportional to 874.03, 1,311.15 and 288.90 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.03 : 1,311.15 = 288.90 : x
  2. Step 2: Convert to fraction form
    874.03/1,311.15 = 288.90/x
  3. Step 3: Cross multiply
    874.03x = 1,311.15 × 288.90
  4. Step 4: Simplify right side
    874.03x = 378,784.68
  5. Step 5: Solve for x
    x = 378,784.68/874.03
  6. Step 6: Final answer
    x = 433.38

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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.