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Finding the Fourth Proportional to 416.49, 624.34 and 210.94

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Solution

The fourth proportional to 416.49, 624.34 and 210.94 is: 316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 624.34 = 210.94 : x
  2. Step 2: Convert to fraction form
    416.49/624.34 = 210.94/x
  3. Step 3: Cross multiply
    416.49x = 624.34 × 210.94
  4. Step 4: Simplify right side
    416.49x = 131,698.28
  5. Step 5: Solve for x
    x = 131,698.28/416.49
  6. Step 6: Final answer
    x = 316.21

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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.