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Finding the Fourth Proportional to 493.49, 681.31 and 328.05

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Solution

The fourth proportional to 493.49, 681.31 and 328.05 is: 452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.49 : 681.31 = 328.05 : x
  2. Step 2: Convert to fraction form
    493.49/681.31 = 328.05/x
  3. Step 3: Cross multiply
    493.49x = 681.31 × 328.05
  4. Step 4: Simplify right side
    493.49x = 223,504.16
  5. Step 5: Solve for x
    x = 223,504.16/493.49
  6. Step 6: Final answer
    x = 452.90

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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.