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Finding the Fourth Proportional to 589.15, 884.07 and 223.93

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Solution

The fourth proportional to 589.15, 884.07 and 223.93 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.15 : 884.07 = 223.93 : x
  2. Step 2: Convert to fraction form
    589.15/884.07 = 223.93/x
  3. Step 3: Cross multiply
    589.15x = 884.07 × 223.93
  4. Step 4: Simplify right side
    589.15x = 197,969.80
  5. Step 5: Solve for x
    x = 197,969.80/589.15
  6. Step 6: Final answer
    x = 336.03

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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.