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Finding the Fourth Proportional to 329.98, 455.24 and 205.60

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Solution

The fourth proportional to 329.98, 455.24 and 205.60 is: 283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.98 : 455.24 = 205.60 : x
  2. Step 2: Convert to fraction form
    329.98/455.24 = 205.60/x
  3. Step 3: Cross multiply
    329.98x = 455.24 × 205.60
  4. Step 4: Simplify right side
    329.98x = 93,597.34
  5. Step 5: Solve for x
    x = 93,597.34/329.98
  6. Step 6: Final answer
    x = 283.65

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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.