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Finding the Fourth Proportional to 429.09, 642.93 and 223.37

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Solution

The fourth proportional to 429.09, 642.93 and 223.37 is: 334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 642.93 = 223.37 : x
  2. Step 2: Convert to fraction form
    429.09/642.93 = 223.37/x
  3. Step 3: Cross multiply
    429.09x = 642.93 × 223.37
  4. Step 4: Simplify right side
    429.09x = 143,608.06
  5. Step 5: Solve for x
    x = 143,608.06/429.09
  6. Step 6: Final answer
    x = 334.68

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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.