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Finding the Fourth Proportional to 589.53, 884.20 and 224.22

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Solution

The fourth proportional to 589.53, 884.20 and 224.22 is: 336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.53 : 884.20 = 224.22 : x
  2. Step 2: Convert to fraction form
    589.53/884.20 = 224.22/x
  3. Step 3: Cross multiply
    589.53x = 884.20 × 224.22
  4. Step 4: Simplify right side
    589.53x = 198,256.97
  5. Step 5: Solve for x
    x = 198,256.97/589.53
  6. Step 6: Final answer
    x = 336.30

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Similar ratio
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1.5x scale

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.