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Finding the Fourth Proportional to 377.20, 564.99 and 214.66

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Solution

The fourth proportional to 377.20, 564.99 and 214.66 is: 321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.20 : 564.99 = 214.66 : x
  2. Step 2: Convert to fraction form
    377.20/564.99 = 214.66/x
  3. Step 3: Cross multiply
    377.20x = 564.99 × 214.66
  4. Step 4: Simplify right side
    377.20x = 121,280.75
  5. Step 5: Solve for x
    x = 121,280.75/377.20
  6. Step 6: Final answer
    x = 321.53

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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.