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Finding the Fourth Proportional to 499.39, 689.16 and 289.69

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Solution

The fourth proportional to 499.39, 689.16 and 289.69 is: 399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.39 : 689.16 = 289.69 : x
  2. Step 2: Convert to fraction form
    499.39/689.16 = 289.69/x
  3. Step 3: Cross multiply
    499.39x = 689.16 × 289.69
  4. Step 4: Simplify right side
    499.39x = 199,639.03
  5. Step 5: Solve for x
    x = 199,639.03/499.39
  6. Step 6: Final answer
    x = 399.77

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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.