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Finding the Fourth Proportional to 344.26, 516.64 and 278.52

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Solution

The fourth proportional to 344.26, 516.64 and 278.52 is: 417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.26 : 516.64 = 278.52 : x
  2. Step 2: Convert to fraction form
    344.26/516.64 = 278.52/x
  3. Step 3: Cross multiply
    344.26x = 516.64 × 278.52
  4. Step 4: Simplify right side
    344.26x = 143,894.57
  5. Step 5: Solve for x
    x = 143,894.57/344.26
  6. Step 6: Final answer
    x = 417.98

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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.