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Finding the Fourth Proportional to 599.25, 898.47 and 234.07

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Solution

The fourth proportional to 599.25, 898.47 and 234.07 is: 350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.25 : 898.47 = 234.07 : x
  2. Step 2: Convert to fraction form
    599.25/898.47 = 234.07/x
  3. Step 3: Cross multiply
    599.25x = 898.47 × 234.07
  4. Step 4: Simplify right side
    599.25x = 210,304.87
  5. Step 5: Solve for x
    x = 210,304.87/599.25
  6. Step 6: Final answer
    x = 350.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.