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Finding the Fourth Proportional to 354.92, 489.84 and 215.06

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Solution

The fourth proportional to 354.92, 489.84 and 215.06 is: 296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.92 : 489.84 = 215.06 : x
  2. Step 2: Convert to fraction form
    354.92/489.84 = 215.06/x
  3. Step 3: Cross multiply
    354.92x = 489.84 × 215.06
  4. Step 4: Simplify right side
    354.92x = 105,344.99
  5. Step 5: Solve for x
    x = 105,344.99/354.92
  6. Step 6: Final answer
    x = 296.81

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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.