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Finding the Fourth Proportional to 598.38, 896.76 and 338.26

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Solution

The fourth proportional to 598.38, 896.76 and 338.26 is: 506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.38 : 896.76 = 338.26 : x
  2. Step 2: Convert to fraction form
    598.38/896.76 = 338.26/x
  3. Step 3: Cross multiply
    598.38x = 896.76 × 338.26
  4. Step 4: Simplify right side
    598.38x = 303,333.55
  5. Step 5: Solve for x
    x = 303,333.55/598.38
  6. Step 6: Final answer
    x = 506.92

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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.