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Finding the Fourth Proportional to 390.45, 538.83 and 213.41

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Solution

The fourth proportional to 390.45, 538.83 and 213.41 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.45 : 538.83 = 213.41 : x
  2. Step 2: Convert to fraction form
    390.45/538.83 = 213.41/x
  3. Step 3: Cross multiply
    390.45x = 538.83 × 213.41
  4. Step 4: Simplify right side
    390.45x = 114,991.71
  5. Step 5: Solve for x
    x = 114,991.71/390.45
  6. Step 6: Final answer
    x = 294.51

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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.