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Finding the Fourth Proportional to 329.24, 454.43 and 205.00

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Solution

The fourth proportional to 329.24, 454.43 and 205.00 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.24 : 454.43 = 205.00 : x
  2. Step 2: Convert to fraction form
    329.24/454.43 = 205.00/x
  3. Step 3: Cross multiply
    329.24x = 454.43 × 205.00
  4. Step 4: Simplify right side
    329.24x = 93,155.88
  5. Step 5: Solve for x
    x = 93,155.88/329.24
  6. Step 6: Final answer
    x = 282.94

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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.