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Finding the Fourth Proportional to 416.40, 623.70 and 223.80

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Solution

The fourth proportional to 416.40, 623.70 and 223.80 is: 335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 623.70 = 223.80 : x
  2. Step 2: Convert to fraction form
    416.40/623.70 = 223.80/x
  3. Step 3: Cross multiply
    416.40x = 623.70 × 223.80
  4. Step 4: Simplify right side
    416.40x = 139,584.06
  5. Step 5: Solve for x
    x = 139,584.06/416.40
  6. Step 6: Final answer
    x = 335.22

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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.