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Finding the Fourth Proportional to 416.50, 624.74 and 173.02

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Solution

The fourth proportional to 416.50, 624.74 and 173.02 is: 259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.50 : 624.74 = 173.02 : x
  2. Step 2: Convert to fraction form
    416.50/624.74 = 173.02/x
  3. Step 3: Cross multiply
    416.50x = 624.74 × 173.02
  4. Step 4: Simplify right side
    416.50x = 108,092.51
  5. Step 5: Solve for x
    x = 108,092.51/416.50
  6. Step 6: Final answer
    x = 259.53

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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.