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Finding the Fourth Proportional to 416.12, 623.73 and 172.49

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Solution

The fourth proportional to 416.12, 623.73 and 172.49 is: 258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 623.73 = 172.49 : x
  2. Step 2: Convert to fraction form
    416.12/623.73 = 172.49/x
  3. Step 3: Cross multiply
    416.12x = 623.73 × 172.49
  4. Step 4: Simplify right side
    416.12x = 107,587.19
  5. Step 5: Solve for x
    x = 107,587.19/416.12
  6. Step 6: Final answer
    x = 258.55

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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.