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Finding the Fourth Proportional to 599.06, 898.36 and 233.80

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Solution

The fourth proportional to 599.06, 898.36 and 233.80 is: 350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.06 : 898.36 = 233.80 : x
  2. Step 2: Convert to fraction form
    599.06/898.36 = 233.80/x
  3. Step 3: Cross multiply
    599.06x = 898.36 × 233.80
  4. Step 4: Simplify right side
    599.06x = 210,036.57
  5. Step 5: Solve for x
    x = 210,036.57/599.06
  6. Step 6: Final answer
    x = 350.61

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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.