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Finding the Fourth Proportional to 589.09, 883.26 and 223.66

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Solution

The fourth proportional to 589.09, 883.26 and 223.66 is: 335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.09 : 883.26 = 223.66 : x
  2. Step 2: Convert to fraction form
    589.09/883.26 = 223.66/x
  3. Step 3: Cross multiply
    589.09x = 883.26 × 223.66
  4. Step 4: Simplify right side
    589.09x = 197,549.93
  5. Step 5: Solve for x
    x = 197,549.93/589.09
  6. Step 6: Final answer
    x = 335.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.