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Finding the Fourth Proportional to 389.07, 582.17 and 235.11

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Solution

The fourth proportional to 389.07, 582.17 and 235.11 is: 351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.07 : 582.17 = 235.11 : x
  2. Step 2: Convert to fraction form
    389.07/582.17 = 235.11/x
  3. Step 3: Cross multiply
    389.07x = 582.17 × 235.11
  4. Step 4: Simplify right side
    389.07x = 136,872.81
  5. Step 5: Solve for x
    x = 136,872.81/389.07
  6. Step 6: Final answer
    x = 351.79

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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.