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Finding the Fourth Proportional to 379.51, 568.35 and 216.70

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Solution

The fourth proportional to 379.51, 568.35 and 216.70 is: 324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.51 : 568.35 = 216.70 : x
  2. Step 2: Convert to fraction form
    379.51/568.35 = 216.70/x
  3. Step 3: Cross multiply
    379.51x = 568.35 × 216.70
  4. Step 4: Simplify right side
    379.51x = 123,161.45
  5. Step 5: Solve for x
    x = 123,161.45/379.51
  6. Step 6: Final answer
    x = 324.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.