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Finding the Fourth Proportional to 624.28, 936.96 and 408.16

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Solution

The fourth proportional to 624.28, 936.96 and 408.16 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.28 : 936.96 = 408.16 : x
  2. Step 2: Convert to fraction form
    624.28/936.96 = 408.16/x
  3. Step 3: Cross multiply
    624.28x = 936.96 × 408.16
  4. Step 4: Simplify right side
    624.28x = 382,429.59
  5. Step 5: Solve for x
    x = 382,429.59/624.28
  6. Step 6: Final answer
    x = 612.59

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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.