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Finding the Fourth Proportional to 994.26, 1,491.18 and 310.26

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Solution

The fourth proportional to 994.26, 1,491.18 and 310.26 is: 465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.26 : 1,491.18 = 310.26 : x
  2. Step 2: Convert to fraction form
    994.26/1,491.18 = 310.26/x
  3. Step 3: Cross multiply
    994.26x = 1,491.18 × 310.26
  4. Step 4: Simplify right side
    994.26x = 462,653.51
  5. Step 5: Solve for x
    x = 462,653.51/994.26
  6. Step 6: Final answer
    x = 465.32

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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.