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Finding the Fourth Proportional to 416.49, 624.64 and 173.09

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Solution

The fourth proportional to 416.49, 624.64 and 173.09 is: 259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 624.64 = 173.09 : x
  2. Step 2: Convert to fraction form
    416.49/624.64 = 173.09/x
  3. Step 3: Cross multiply
    416.49x = 624.64 × 173.09
  4. Step 4: Simplify right side
    416.49x = 108,118.94
  5. Step 5: Solve for x
    x = 108,118.94/416.49
  6. Step 6: Final answer
    x = 259.60

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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.