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Finding the Fourth Proportional to 599.10, 898.76 and 233.89

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Solution

The fourth proportional to 599.10, 898.76 and 233.89 is: 350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.10 : 898.76 = 233.89 : x
  2. Step 2: Convert to fraction form
    599.10/898.76 = 233.89/x
  3. Step 3: Cross multiply
    599.10x = 898.76 × 233.89
  4. Step 4: Simplify right side
    599.10x = 210,209.31
  5. Step 5: Solve for x
    x = 210,209.31/599.10
  6. Step 6: Final answer
    x = 350.88

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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.