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Finding the Fourth Proportional to 354.30, 489.03 and 214.44

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Solution

The fourth proportional to 354.30, 489.03 and 214.44 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.30 : 489.03 = 214.44 : x
  2. Step 2: Convert to fraction form
    354.30/489.03 = 214.44/x
  3. Step 3: Cross multiply
    354.30x = 489.03 × 214.44
  4. Step 4: Simplify right side
    354.30x = 104,867.59
  5. Step 5: Solve for x
    x = 104,867.59/354.30
  6. Step 6: Final answer
    x = 295.99

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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.