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Finding the Fourth Proportional to 390.35, 538.30 and 331.27

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Solution

The fourth proportional to 390.35, 538.30 and 331.27 is: 456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.35 : 538.30 = 331.27 : x
  2. Step 2: Convert to fraction form
    390.35/538.30 = 331.27/x
  3. Step 3: Cross multiply
    390.35x = 538.30 × 331.27
  4. Step 4: Simplify right side
    390.35x = 178,324.74
  5. Step 5: Solve for x
    x = 178,324.74/390.35
  6. Step 6: Final answer
    x = 456.83

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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.