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Finding the Fourth Proportional to 375.99, 564.21 and 213.81

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Solution

The fourth proportional to 375.99, 564.21 and 213.81 is: 320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.99 : 564.21 = 213.81 : x
  2. Step 2: Convert to fraction form
    375.99/564.21 = 213.81/x
  3. Step 3: Cross multiply
    375.99x = 564.21 × 213.81
  4. Step 4: Simplify right side
    375.99x = 120,633.74
  5. Step 5: Solve for x
    x = 120,633.74/375.99
  6. Step 6: Final answer
    x = 320.84

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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.