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Finding the Fourth Proportional to 631.88, 946.44 and 323.20

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Solution

The fourth proportional to 631.88, 946.44 and 323.20 is: 484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.88 : 946.44 = 323.20 : x
  2. Step 2: Convert to fraction form
    631.88/946.44 = 323.20/x
  3. Step 3: Cross multiply
    631.88x = 946.44 × 323.20
  4. Step 4: Simplify right side
    631.88x = 305,889.41
  5. Step 5: Solve for x
    x = 305,889.41/631.88
  6. Step 6: Final answer
    x = 484.09

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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.