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Finding the Fourth Proportional to 589.84, 884.76 and 224.94

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Solution

The fourth proportional to 589.84, 884.76 and 224.94 is: 337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.84 : 884.76 = 224.94 : x
  2. Step 2: Convert to fraction form
    589.84/884.76 = 224.94/x
  3. Step 3: Cross multiply
    589.84x = 884.76 × 224.94
  4. Step 4: Simplify right side
    589.84x = 199,017.91
  5. Step 5: Solve for x
    x = 199,017.91/589.84
  6. Step 6: Final answer
    x = 337.41

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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.