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Finding the Fourth Proportional to 406.63, 561.03 and 238.54

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Solution

The fourth proportional to 406.63, 561.03 and 238.54 is: 329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.63 : 561.03 = 238.54 : x
  2. Step 2: Convert to fraction form
    406.63/561.03 = 238.54/x
  3. Step 3: Cross multiply
    406.63x = 561.03 × 238.54
  4. Step 4: Simplify right side
    406.63x = 133,828.10
  5. Step 5: Solve for x
    x = 133,828.10/406.63
  6. Step 6: Final answer
    x = 329.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.