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Finding the Fourth Proportional to 994.10, 1,491.14 and 344.81

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Solution

The fourth proportional to 994.10, 1,491.14 and 344.81 is: 517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.10 : 1,491.14 = 344.81 : x
  2. Step 2: Convert to fraction form
    994.10/1,491.14 = 344.81/x
  3. Step 3: Cross multiply
    994.10x = 1,491.14 × 344.81
  4. Step 4: Simplify right side
    994.10x = 514,164.57
  5. Step 5: Solve for x
    x = 514,164.57/994.10
  6. Step 6: Final answer
    x = 517.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.