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Finding the Fourth Proportional to 864.29, 1,296.74 and 344.12

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Solution

The fourth proportional to 864.29, 1,296.74 and 344.12 is: 516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.29 : 1,296.74 = 344.12 : x
  2. Step 2: Convert to fraction form
    864.29/1,296.74 = 344.12/x
  3. Step 3: Cross multiply
    864.29x = 1,296.74 × 344.12
  4. Step 4: Simplify right side
    864.29x = 446,238.27
  5. Step 5: Solve for x
    x = 446,238.27/864.29
  6. Step 6: Final answer
    x = 516.30

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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.