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Finding the Fourth Proportional to 393.65, 543.26 and 216.62

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Solution

The fourth proportional to 393.65, 543.26 and 216.62 is: 298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.65 : 543.26 = 216.62 : x
  2. Step 2: Convert to fraction form
    393.65/543.26 = 216.62/x
  3. Step 3: Cross multiply
    393.65x = 543.26 × 216.62
  4. Step 4: Simplify right side
    393.65x = 117,677.18
  5. Step 5: Solve for x
    x = 117,677.18/393.65
  6. Step 6: Final answer
    x = 298.94

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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.