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Finding the Fourth Proportional to 993.24, 1,490.54 and 343.97

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Solution

The fourth proportional to 993.24, 1,490.54 and 343.97 is: 516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.24 : 1,490.54 = 343.97 : x
  2. Step 2: Convert to fraction form
    993.24/1,490.54 = 343.97/x
  3. Step 3: Cross multiply
    993.24x = 1,490.54 × 343.97
  4. Step 4: Simplify right side
    993.24x = 512,697.46
  5. Step 5: Solve for x
    x = 512,697.46/993.24
  6. Step 6: Final answer
    x = 516.19

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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.