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Finding the Fourth Proportional to 336.36, 466.54 and 323.40

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Solution

The fourth proportional to 336.36, 466.54 and 323.40 is: 448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.36 : 466.54 = 323.40 : x
  2. Step 2: Convert to fraction form
    336.36/466.54 = 323.40/x
  3. Step 3: Cross multiply
    336.36x = 466.54 × 323.40
  4. Step 4: Simplify right side
    336.36x = 150,879.04
  5. Step 5: Solve for x
    x = 150,879.04/336.36
  6. Step 6: Final answer
    x = 448.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.