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Finding the Fourth Proportional to 416.46, 624.74 and 173.16

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Solution

The fourth proportional to 416.46, 624.74 and 173.16 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.46 : 624.74 = 173.16 : x
  2. Step 2: Convert to fraction form
    416.46/624.74 = 173.16/x
  3. Step 3: Cross multiply
    416.46x = 624.74 × 173.16
  4. Step 4: Simplify right side
    416.46x = 108,179.98
  5. Step 5: Solve for x
    x = 108,179.98/416.46
  6. Step 6: Final answer
    x = 259.76

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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.