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Finding the Fourth Proportional to 459.30, 689.09 and 199.17

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Solution

The fourth proportional to 459.30, 689.09 and 199.17 is: 298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.30 : 689.09 = 199.17 : x
  2. Step 2: Convert to fraction form
    459.30/689.09 = 199.17/x
  3. Step 3: Cross multiply
    459.30x = 689.09 × 199.17
  4. Step 4: Simplify right side
    459.30x = 137,245.06
  5. Step 5: Solve for x
    x = 137,245.06/459.30
  6. Step 6: Final answer
    x = 298.81

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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.