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Finding the Fourth Proportional to 354.35, 489.02 and 205.00

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Solution

The fourth proportional to 354.35, 489.02 and 205.00 is: 282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.35 : 489.02 = 205.00 : x
  2. Step 2: Convert to fraction form
    354.35/489.02 = 205.00/x
  3. Step 3: Cross multiply
    354.35x = 489.02 × 205.00
  4. Step 4: Simplify right side
    354.35x = 100,245.63
  5. Step 5: Solve for x
    x = 100,245.63/354.35
  6. Step 6: Final answer
    x = 282.90

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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.