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Finding the Fourth Proportional to 459.92, 689.37 and 199.79

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Solution

The fourth proportional to 459.92, 689.37 and 199.79 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 689.37 = 199.79 : x
  2. Step 2: Convert to fraction form
    459.92/689.37 = 199.79/x
  3. Step 3: Cross multiply
    459.92x = 689.37 × 199.79
  4. Step 4: Simplify right side
    459.92x = 137,725.79
  5. Step 5: Solve for x
    x = 137,725.79/459.92
  6. Step 6: Final answer
    x = 299.46

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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.