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Finding the Fourth Proportional to 486.94, 732.24 and 414.04

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Solution

The fourth proportional to 486.94, 732.24 and 414.04 is: 622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.94 : 732.24 = 414.04 : x
  2. Step 2: Convert to fraction form
    486.94/732.24 = 414.04/x
  3. Step 3: Cross multiply
    486.94x = 732.24 × 414.04
  4. Step 4: Simplify right side
    486.94x = 303,176.65
  5. Step 5: Solve for x
    x = 303,176.65/486.94
  6. Step 6: Final answer
    x = 622.62

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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.