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Finding the Fourth Proportional to 599.02, 898.14 and 233.41

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Solution

The fourth proportional to 599.02, 898.14 and 233.41 is: 349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.02 : 898.14 = 233.41 : x
  2. Step 2: Convert to fraction form
    599.02/898.14 = 233.41/x
  3. Step 3: Cross multiply
    599.02x = 898.14 × 233.41
  4. Step 4: Simplify right side
    599.02x = 209,634.86
  5. Step 5: Solve for x
    x = 209,634.86/599.02
  6. Step 6: Final answer
    x = 349.96

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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.