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Finding the Fourth Proportional to 305.35, 421.30 and 217.07

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Solution

The fourth proportional to 305.35, 421.30 and 217.07 is: 299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.35 : 421.30 = 217.07 : x
  2. Step 2: Convert to fraction form
    305.35/421.30 = 217.07/x
  3. Step 3: Cross multiply
    305.35x = 421.30 × 217.07
  4. Step 4: Simplify right side
    305.35x = 91,450.51
  5. Step 5: Solve for x
    x = 91,450.51/305.35
  6. Step 6: Final answer
    x = 299.50

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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.