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Finding the Fourth Proportional to 406.63, 608.64 and 223.57

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Solution

The fourth proportional to 406.63, 608.64 and 223.57 is: 334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.63 : 608.64 = 223.57 : x
  2. Step 2: Convert to fraction form
    406.63/608.64 = 223.57/x
  3. Step 3: Cross multiply
    406.63x = 608.64 × 223.57
  4. Step 4: Simplify right side
    406.63x = 136,073.64
  5. Step 5: Solve for x
    x = 136,073.64/406.63
  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.