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Finding the Fourth Proportional to 389.82, 583.11 and 351.96

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Solution

The fourth proportional to 389.82, 583.11 and 351.96 is: 526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.82 : 583.11 = 351.96 : x
  2. Step 2: Convert to fraction form
    389.82/583.11 = 351.96/x
  3. Step 3: Cross multiply
    389.82x = 583.11 × 351.96
  4. Step 4: Simplify right side
    389.82x = 205,231.40
  5. Step 5: Solve for x
    x = 205,231.40/389.82
  6. Step 6: Final answer
    x = 526.48

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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.