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Finding the Fourth Proportional to 416.36, 624.40 and 169.50

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Solution

The fourth proportional to 416.36, 624.40 and 169.50 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.36 : 624.40 = 169.50 : x
  2. Step 2: Convert to fraction form
    416.36/624.40 = 169.50/x
  3. Step 3: Cross multiply
    416.36x = 624.40 × 169.50
  4. Step 4: Simplify right side
    416.36x = 105,835.80
  5. Step 5: Solve for x
    x = 105,835.80/416.36
  6. Step 6: Final answer
    x = 254.19

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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.