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Finding the Fourth Proportional to 389.01, 582.78 and 235.05

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Solution

The fourth proportional to 389.01, 582.78 and 235.05 is: 352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.01 : 582.78 = 235.05 : x
  2. Step 2: Convert to fraction form
    389.01/582.78 = 235.05/x
  3. Step 3: Cross multiply
    389.01x = 582.78 × 235.05
  4. Step 4: Simplify right side
    389.01x = 136,982.44
  5. Step 5: Solve for x
    x = 136,982.44/389.01
  6. Step 6: Final answer
    x = 352.13

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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.