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Finding the Fourth Proportional to 415.50, 622.59 and 278.04

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Solution

The fourth proportional to 415.50, 622.59 and 278.04 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 622.59 = 278.04 : x
  2. Step 2: Convert to fraction form
    415.50/622.59 = 278.04/x
  3. Step 3: Cross multiply
    415.50x = 622.59 × 278.04
  4. Step 4: Simplify right side
    415.50x = 173,104.92
  5. Step 5: Solve for x
    x = 173,104.92/415.50
  6. Step 6: Final answer
    x = 416.62

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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.