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Finding the Fourth Proportional to 499.45, 689.24 and 289.67

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Solution

The fourth proportional to 499.45, 689.24 and 289.67 is: 399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.45 : 689.24 = 289.67 : x
  2. Step 2: Convert to fraction form
    499.45/689.24 = 289.67/x
  3. Step 3: Cross multiply
    499.45x = 689.24 × 289.67
  4. Step 4: Simplify right side
    499.45x = 199,648.70
  5. Step 5: Solve for x
    x = 199,648.70/499.45
  6. Step 6: Final answer
    x = 399.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.