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Finding the Fourth Proportional to 416.39, 623.61 and 329.14

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Solution

The fourth proportional to 416.39, 623.61 and 329.14 is: 492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.39 : 623.61 = 329.14 : x
  2. Step 2: Convert to fraction form
    416.39/623.61 = 329.14/x
  3. Step 3: Cross multiply
    416.39x = 623.61 × 329.14
  4. Step 4: Simplify right side
    416.39x = 205,253.44
  5. Step 5: Solve for x
    x = 205,253.44/416.39
  6. Step 6: Final answer
    x = 492.94

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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.