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Finding the Fourth Proportional to 631.91, 946.89 and 323.33

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Solution

The fourth proportional to 631.91, 946.89 and 323.33 is: 484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.91 : 946.89 = 323.33 : x
  2. Step 2: Convert to fraction form
    631.91/946.89 = 323.33/x
  3. Step 3: Cross multiply
    631.91x = 946.89 × 323.33
  4. Step 4: Simplify right side
    631.91x = 306,157.94
  5. Step 5: Solve for x
    x = 306,157.94/631.91
  6. Step 6: Final answer
    x = 484.50

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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.