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Finding the Fourth Proportional to 994.27, 1,491.41 and 345.01

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Solution

The fourth proportional to 994.27, 1,491.41 and 345.01 is: 517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.27 : 1,491.41 = 345.01 : x
  2. Step 2: Convert to fraction form
    994.27/1,491.41 = 345.01/x
  3. Step 3: Cross multiply
    994.27x = 1,491.41 × 345.01
  4. Step 4: Simplify right side
    994.27x = 514,552.15
  5. Step 5: Solve for x
    x = 514,552.15/994.27
  6. Step 6: Final answer
    x = 517.52

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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.