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Finding the Fourth Proportional to 589.64, 884.55 and 199.67

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Solution

The fourth proportional to 589.64, 884.55 and 199.67 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 884.55 = 199.67 : x
  2. Step 2: Convert to fraction form
    589.64/884.55 = 199.67/x
  3. Step 3: Cross multiply
    589.64x = 884.55 × 199.67
  4. Step 4: Simplify right side
    589.64x = 176,618.10
  5. Step 5: Solve for x
    x = 176,618.10/589.64
  6. Step 6: Final answer
    x = 299.54

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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.