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Finding the Fourth Proportional to 459.25, 687.14 and 273.46

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Solution

The fourth proportional to 459.25, 687.14 and 273.46 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.25 : 687.14 = 273.46 : x
  2. Step 2: Convert to fraction form
    459.25/687.14 = 273.46/x
  3. Step 3: Cross multiply
    459.25x = 687.14 × 273.46
  4. Step 4: Simplify right side
    459.25x = 187,903.94
  5. Step 5: Solve for x
    x = 187,903.94/459.25
  6. Step 6: Final answer
    x = 409.16

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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.