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Finding the Fourth Proportional to 459.73, 689.85 and 199.92

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Solution

The fourth proportional to 459.73, 689.85 and 199.92 is: 299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 689.85 = 199.92 : x
  2. Step 2: Convert to fraction form
    459.73/689.85 = 199.92/x
  3. Step 3: Cross multiply
    459.73x = 689.85 × 199.92
  4. Step 4: Simplify right side
    459.73x = 137,914.81
  5. Step 5: Solve for x
    x = 137,914.81/459.73
  6. Step 6: Final answer
    x = 299.99

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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.