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Finding the Fourth Proportional to 389.10, 582.90 and 235.10

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Solution

The fourth proportional to 389.10, 582.90 and 235.10 is: 352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.10 : 582.90 = 235.10 : x
  2. Step 2: Convert to fraction form
    389.10/582.90 = 235.10/x
  3. Step 3: Cross multiply
    389.10x = 582.90 × 235.10
  4. Step 4: Simplify right side
    389.10x = 137,040.37
  5. Step 5: Solve for x
    x = 137,040.37/389.10
  6. Step 6: Final answer
    x = 352.19

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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.