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Finding the Fourth Proportional to 459.74, 634.09 and 300.12

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Solution

The fourth proportional to 459.74, 634.09 and 300.12 is: 413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 634.09 = 300.12 : x
  2. Step 2: Convert to fraction form
    459.74/634.09 = 300.12/x
  3. Step 3: Cross multiply
    459.74x = 634.09 × 300.12
  4. Step 4: Simplify right side
    459.74x = 190,303.09
  5. Step 5: Solve for x
    x = 190,303.09/459.74
  6. Step 6: Final answer
    x = 413.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.