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Finding the Fourth Proportional to 354.93, 489.73 and 205.52

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Solution

The fourth proportional to 354.93, 489.73 and 205.52 is: 283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.93 : 489.73 = 205.52 : x
  2. Step 2: Convert to fraction form
    354.93/489.73 = 205.52/x
  3. Step 3: Cross multiply
    354.93x = 489.73 × 205.52
  4. Step 4: Simplify right side
    354.93x = 100,648.28
  5. Step 5: Solve for x
    x = 100,648.28/354.93
  6. Step 6: Final answer
    x = 283.57

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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.