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Finding the Fourth Proportional to 499.45, 689.33 and 289.76

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Solution

The fourth proportional to 499.45, 689.33 and 289.76 is: 399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.45 : 689.33 = 289.76 : x
  2. Step 2: Convert to fraction form
    499.45/689.33 = 289.76/x
  3. Step 3: Cross multiply
    499.45x = 689.33 × 289.76
  4. Step 4: Simplify right side
    499.45x = 199,735.37
  5. Step 5: Solve for x
    x = 199,735.37/499.45
  6. Step 6: Final answer
    x = 399.91

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