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Finding the Fourth Proportional to 416.22, 624.36 and 172.74

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Solution

The fourth proportional to 416.22, 624.36 and 172.74 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.22 : 624.36 = 172.74 : x
  2. Step 2: Convert to fraction form
    416.22/624.36 = 172.74/x
  3. Step 3: Cross multiply
    416.22x = 624.36 × 172.74
  4. Step 4: Simplify right side
    416.22x = 107,851.95
  5. Step 5: Solve for x
    x = 107,851.95/416.22
  6. Step 6: Final answer
    x = 259.12

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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.