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Finding the Fourth Proportional to 459.53, 689.48 and 199.58

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Solution

The fourth proportional to 459.53, 689.48 and 199.58 is: 299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.53 : 689.48 = 199.58 : x
  2. Step 2: Convert to fraction form
    459.53/689.48 = 199.58/x
  3. Step 3: Cross multiply
    459.53x = 689.48 × 199.58
  4. Step 4: Simplify right side
    459.53x = 137,601.97
  5. Step 5: Solve for x
    x = 137,601.97/459.53
  6. Step 6: Final answer
    x = 299.44

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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.