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Finding the Fourth Proportional to 993.26, 1,490.13 and 344

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Solution

The fourth proportional to 993.26, 1,490.13 and 344 is: 516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.26 : 1,490.13 = 344 : x
  2. Step 2: Convert to fraction form
    993.26/1,490.13 = 344/x
  3. Step 3: Cross multiply
    993.26x = 1,490.13 × 344
  4. Step 4: Simplify right side
    993.26x = 512,604.72
  5. Step 5: Solve for x
    x = 512,604.72/993.26
  6. Step 6: Final answer
    x = 516.08

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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.