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Finding the Fourth Proportional to 416.49, 624.96 and 173.01

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Solution

The fourth proportional to 416.49, 624.96 and 173.01 is: 259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 624.96 = 173.01 : x
  2. Step 2: Convert to fraction form
    416.49/624.96 = 173.01/x
  3. Step 3: Cross multiply
    416.49x = 624.96 × 173.01
  4. Step 4: Simplify right side
    416.49x = 108,124.33
  5. Step 5: Solve for x
    x = 108,124.33/416.49
  6. Step 6: Final answer
    x = 259.61

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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.