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Finding the Fourth Proportional to 445.50, 666.36 and 323.46

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Solution

The fourth proportional to 445.50, 666.36 and 323.46 is: 483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.50 : 666.36 = 323.46 : x
  2. Step 2: Convert to fraction form
    445.50/666.36 = 323.46/x
  3. Step 3: Cross multiply
    445.50x = 666.36 × 323.46
  4. Step 4: Simplify right side
    445.50x = 215,540.81
  5. Step 5: Solve for x
    x = 215,540.81/445.50
  6. Step 6: Final answer
    x = 483.82

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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.