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Finding the Fourth Proportional to 459.90, 634.86 and 328.68

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Solution

The fourth proportional to 459.90, 634.86 and 328.68 is: 453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 634.86 = 328.68 : x
  2. Step 2: Convert to fraction form
    459.90/634.86 = 328.68/x
  3. Step 3: Cross multiply
    459.90x = 634.86 × 328.68
  4. Step 4: Simplify right side
    459.90x = 208,665.78
  5. Step 5: Solve for x
    x = 208,665.78/459.90
  6. Step 6: Final answer
    x = 453.72

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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.