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Finding the Fourth Proportional to 589.89, 884.78 and 179.12

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Solution

The fourth proportional to 589.89, 884.78 and 179.12 is: 268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.89 : 884.78 = 179.12 : x
  2. Step 2: Convert to fraction form
    589.89/884.78 = 179.12/x
  3. Step 3: Cross multiply
    589.89x = 884.78 × 179.12
  4. Step 4: Simplify right side
    589.89x = 158,484.45
  5. Step 5: Solve for x
    x = 158,484.45/589.89
  6. Step 6: Final answer
    x = 268.67

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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.