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Finding the Fourth Proportional to 333.65, 462.38 and 327.17

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Solution

The fourth proportional to 333.65, 462.38 and 327.17 is: 453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.65 : 462.38 = 327.17 : x
  2. Step 2: Convert to fraction form
    333.65/462.38 = 327.17/x
  3. Step 3: Cross multiply
    333.65x = 462.38 × 327.17
  4. Step 4: Simplify right side
    333.65x = 151,274.14
  5. Step 5: Solve for x
    x = 151,274.14/333.65
  6. Step 6: Final answer
    x = 453.40

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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.