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Finding the Fourth Proportional to 354.74, 489.50 and 205.32

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Solution

The fourth proportional to 354.74, 489.50 and 205.32 is: 283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.74 : 489.50 = 205.32 : x
  2. Step 2: Convert to fraction form
    354.74/489.50 = 205.32/x
  3. Step 3: Cross multiply
    354.74x = 489.50 × 205.32
  4. Step 4: Simplify right side
    354.74x = 100,504.14
  5. Step 5: Solve for x
    x = 100,504.14/354.74
  6. Step 6: Final answer
    x = 283.32

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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.