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Finding the Fourth Proportional to 416.14, 624.26 and 172.83

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Solution

The fourth proportional to 416.14, 624.26 and 172.83 is: 259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 624.26 = 172.83 : x
  2. Step 2: Convert to fraction form
    416.14/624.26 = 172.83/x
  3. Step 3: Cross multiply
    416.14x = 624.26 × 172.83
  4. Step 4: Simplify right side
    416.14x = 107,890.86
  5. Step 5: Solve for x
    x = 107,890.86/416.14
  6. Step 6: Final answer
    x = 259.27

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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.