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Finding the Fourth Proportional to 865.02, 1,296.89 and 344.60

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Solution

The fourth proportional to 865.02, 1,296.89 and 344.60 is: 516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.02 : 1,296.89 = 344.60 : x
  2. Step 2: Convert to fraction form
    865.02/1,296.89 = 344.60/x
  3. Step 3: Cross multiply
    865.02x = 1,296.89 × 344.60
  4. Step 4: Simplify right side
    865.02x = 446,908.29
  5. Step 5: Solve for x
    x = 446,908.29/865.02
  6. Step 6: Final answer
    x = 516.65

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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.