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Finding the Fourth Proportional to 459.49, 688.82 and 199.33

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Solution

The fourth proportional to 459.49, 688.82 and 199.33 is: 298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 688.82 = 199.33 : x
  2. Step 2: Convert to fraction form
    459.49/688.82 = 199.33/x
  3. Step 3: Cross multiply
    459.49x = 688.82 × 199.33
  4. Step 4: Simplify right side
    459.49x = 137,302.49
  5. Step 5: Solve for x
    x = 137,302.49/459.49
  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.