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Finding the Fourth Proportional to 329.40, 454.06 and 205

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Solution

The fourth proportional to 329.40, 454.06 and 205 is: 282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.40 : 454.06 = 205 : x
  2. Step 2: Convert to fraction form
    329.40/454.06 = 205/x
  3. Step 3: Cross multiply
    329.40x = 454.06 × 205
  4. Step 4: Simplify right side
    329.40x = 93,082.30
  5. Step 5: Solve for x
    x = 93,082.30/329.40
  6. Step 6: Final answer
    x = 282.58

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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.