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Finding the Fourth Proportional to 599.84, 899.58 and 234.42

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Solution

The fourth proportional to 599.84, 899.58 and 234.42 is: 351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 899.58 = 234.42 : x
  2. Step 2: Convert to fraction form
    599.84/899.58 = 234.42/x
  3. Step 3: Cross multiply
    599.84x = 899.58 × 234.42
  4. Step 4: Simplify right side
    599.84x = 210,879.54
  5. Step 5: Solve for x
    x = 210,879.54/599.84
  6. Step 6: Final answer
    x = 351.56

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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.