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Finding the Fourth Proportional to 416.02, 623.23 and 223.38

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Solution

The fourth proportional to 416.02, 623.23 and 223.38 is: 334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 623.23 = 223.38 : x
  2. Step 2: Convert to fraction form
    416.02/623.23 = 223.38/x
  3. Step 3: Cross multiply
    416.02x = 623.23 × 223.38
  4. Step 4: Simplify right side
    416.02x = 139,217.12
  5. Step 5: Solve for x
    x = 139,217.12/416.02
  6. Step 6: Final answer
    x = 334.64

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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.