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Finding the Fourth Proportional to 459.75, 689.73 and 199.74

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Solution

The fourth proportional to 459.75, 689.73 and 199.74 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 689.73 = 199.74 : x
  2. Step 2: Convert to fraction form
    459.75/689.73 = 199.74/x
  3. Step 3: Cross multiply
    459.75x = 689.73 × 199.74
  4. Step 4: Simplify right side
    459.75x = 137,766.67
  5. Step 5: Solve for x
    x = 137,766.67/459.75
  6. Step 6: Final answer
    x = 299.66

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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.