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Finding the Fourth Proportional to 459.42, 689.04 and 199.62

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Solution

The fourth proportional to 459.42, 689.04 and 199.62 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 689.04 = 199.62 : x
  2. Step 2: Convert to fraction form
    459.42/689.04 = 199.62/x
  3. Step 3: Cross multiply
    459.42x = 689.04 × 199.62
  4. Step 4: Simplify right side
    459.42x = 137,546.16
  5. Step 5: Solve for x
    x = 137,546.16/459.42
  6. Step 6: Final answer
    x = 299.39

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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.