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Finding the Fourth Proportional to 416.53, 624.64 and 172.77

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Solution

The fourth proportional to 416.53, 624.64 and 172.77 is: 259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 624.64 = 172.77 : x
  2. Step 2: Convert to fraction form
    416.53/624.64 = 172.77/x
  3. Step 3: Cross multiply
    416.53x = 624.64 × 172.77
  4. Step 4: Simplify right side
    416.53x = 107,919.05
  5. Step 5: Solve for x
    x = 107,919.05/416.53
  6. Step 6: Final answer
    x = 259.09

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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.