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Finding the Fourth Proportional to 394.52, 544.52 and 328.96

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Solution

The fourth proportional to 394.52, 544.52 and 328.96 is: 454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.52 : 544.52 = 328.96 : x
  2. Step 2: Convert to fraction form
    394.52/544.52 = 328.96/x
  3. Step 3: Cross multiply
    394.52x = 544.52 × 328.96
  4. Step 4: Simplify right side
    394.52x = 179,125.30
  5. Step 5: Solve for x
    x = 179,125.30/394.52
  6. Step 6: Final answer
    x = 454.03

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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.