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Finding the Fourth Proportional to 344.70, 516.45 and 293.10

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Solution

The fourth proportional to 344.70, 516.45 and 293.10 is: 439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 516.45 = 293.10 : x
  2. Step 2: Convert to fraction form
    344.70/516.45 = 293.10/x
  3. Step 3: Cross multiply
    344.70x = 516.45 × 293.10
  4. Step 4: Simplify right side
    344.70x = 151,371.50
  5. Step 5: Solve for x
    x = 151,371.50/344.70
  6. Step 6: Final answer
    x = 439.14

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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.