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Finding the Fourth Proportional to 994.53, 1,491.31 and 301.07

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Solution

The fourth proportional to 994.53, 1,491.31 and 301.07 is: 451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.53 : 1,491.31 = 301.07 : x
  2. Step 2: Convert to fraction form
    994.53/1,491.31 = 301.07/x
  3. Step 3: Cross multiply
    994.53x = 1,491.31 × 301.07
  4. Step 4: Simplify right side
    994.53x = 448,988.70
  5. Step 5: Solve for x
    x = 448,988.70/994.53
  6. Step 6: Final answer
    x = 451.46

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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.