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Finding the Fourth Proportional to 459.26, 634.09 and 328.65

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Solution

The fourth proportional to 459.26, 634.09 and 328.65 is: 453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.26 : 634.09 = 328.65 : x
  2. Step 2: Convert to fraction form
    459.26/634.09 = 328.65/x
  3. Step 3: Cross multiply
    459.26x = 634.09 × 328.65
  4. Step 4: Simplify right side
    459.26x = 208,393.68
  5. Step 5: Solve for x
    x = 208,393.68/459.26
  6. Step 6: Final answer
    x = 453.76

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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.