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Finding the Fourth Proportional to 499.42, 689.27 and 289.61

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Solution

The fourth proportional to 499.42, 689.27 and 289.61 is: 399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.42 : 689.27 = 289.61 : x
  2. Step 2: Convert to fraction form
    499.42/689.27 = 289.61/x
  3. Step 3: Cross multiply
    499.42x = 689.27 × 289.61
  4. Step 4: Simplify right side
    499.42x = 199,616.76
  5. Step 5: Solve for x
    x = 199,616.76/499.42
  6. Step 6: Final answer
    x = 399.70

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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.