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Finding the Fourth Proportional to 354.77, 489.71 and 223.75

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Solution

The fourth proportional to 354.77, 489.71 and 223.75 is: 308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.77 : 489.71 = 223.75 : x
  2. Step 2: Convert to fraction form
    354.77/489.71 = 223.75/x
  3. Step 3: Cross multiply
    354.77x = 489.71 × 223.75
  4. Step 4: Simplify right side
    354.77x = 109,572.61
  5. Step 5: Solve for x
    x = 109,572.61/354.77
  6. Step 6: Final answer
    x = 308.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.