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Finding the Fourth Proportional to 344.17, 516.14 and 289.34

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Solution

The fourth proportional to 344.17, 516.14 and 289.34 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.17 : 516.14 = 289.34 : x
  2. Step 2: Convert to fraction form
    344.17/516.14 = 289.34/x
  3. Step 3: Cross multiply
    344.17x = 516.14 × 289.34
  4. Step 4: Simplify right side
    344.17x = 149,339.95
  5. Step 5: Solve for x
    x = 149,339.95/344.17
  6. Step 6: Final answer
    x = 433.91

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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.