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Finding the Fourth Proportional to 354.53, 489.15 and 214.73

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Solution

The fourth proportional to 354.53, 489.15 and 214.73 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.53 : 489.15 = 214.73 : x
  2. Step 2: Convert to fraction form
    354.53/489.15 = 214.73/x
  3. Step 3: Cross multiply
    354.53x = 489.15 × 214.73
  4. Step 4: Simplify right side
    354.53x = 105,032.73
  5. Step 5: Solve for x
    x = 105,032.73/354.53
  6. Step 6: Final answer
    x = 296.26

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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.