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Finding the Fourth Proportional to 873.35, 1,309.92 and 224.04

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Solution

The fourth proportional to 873.35, 1,309.92 and 224.04 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.35 : 1,309.92 = 224.04 : x
  2. Step 2: Convert to fraction form
    873.35/1,309.92 = 224.04/x
  3. Step 3: Cross multiply
    873.35x = 1,309.92 × 224.04
  4. Step 4: Simplify right side
    873.35x = 293,474.48
  5. Step 5: Solve for x
    x = 293,474.48/873.35
  6. Step 6: Final answer
    x = 336.03

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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.