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Finding the Fourth Proportional to 329.34, 454.71 and 205.05

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Solution

The fourth proportional to 329.34, 454.71 and 205.05 is: 283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.34 : 454.71 = 205.05 : x
  2. Step 2: Convert to fraction form
    329.34/454.71 = 205.05/x
  3. Step 3: Cross multiply
    329.34x = 454.71 × 205.05
  4. Step 4: Simplify right side
    329.34x = 93,238.29
  5. Step 5: Solve for x
    x = 93,238.29/329.34
  6. Step 6: Final answer
    x = 283.11

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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.