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Finding the Fourth Proportional to 333.72, 463.73 and 329.64

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Solution

The fourth proportional to 333.72, 463.73 and 329.64 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.72 : 463.73 = 329.64 : x
  2. Step 2: Convert to fraction form
    333.72/463.73 = 329.64/x
  3. Step 3: Cross multiply
    333.72x = 463.73 × 329.64
  4. Step 4: Simplify right side
    333.72x = 152,863.96
  5. Step 5: Solve for x
    x = 152,863.96/333.72
  6. Step 6: Final answer
    x = 458.06

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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.