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Finding the Fourth Proportional to 459.43, 687.42 and 273.65

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Solution

The fourth proportional to 459.43, 687.42 and 273.65 is: 409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.43 : 687.42 = 273.65 : x
  2. Step 2: Convert to fraction form
    459.43/687.42 = 273.65/x
  3. Step 3: Cross multiply
    459.43x = 687.42 × 273.65
  4. Step 4: Simplify right side
    459.43x = 188,112.48
  5. Step 5: Solve for x
    x = 188,112.48/459.43
  6. Step 6: Final answer
    x = 409.45

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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.