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Finding the Fourth Proportional to 416.28, 623.52 and 223.50

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Solution

The fourth proportional to 416.28, 623.52 and 223.50 is: 334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 623.52 = 223.50 : x
  2. Step 2: Convert to fraction form
    416.28/623.52 = 223.50/x
  3. Step 3: Cross multiply
    416.28x = 623.52 × 223.50
  4. Step 4: Simplify right side
    416.28x = 139,356.72
  5. Step 5: Solve for x
    x = 139,356.72/416.28
  6. Step 6: Final answer
    x = 334.77

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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.