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Finding the Fourth Proportional to 496.52, 684.96 and 328.40

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Solution

The fourth proportional to 496.52, 684.96 and 328.40 is: 453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.52 : 684.96 = 328.40 : x
  2. Step 2: Convert to fraction form
    496.52/684.96 = 328.40/x
  3. Step 3: Cross multiply
    496.52x = 684.96 × 328.40
  4. Step 4: Simplify right side
    496.52x = 224,940.86
  5. Step 5: Solve for x
    x = 224,940.86/496.52
  6. Step 6: Final answer
    x = 453.03

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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.