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Finding the Fourth Proportional to 344.64, 517.04 and 200.48

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Solution

The fourth proportional to 344.64, 517.04 and 200.48 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.64 : 517.04 = 200.48 : x
  2. Step 2: Convert to fraction form
    344.64/517.04 = 200.48/x
  3. Step 3: Cross multiply
    344.64x = 517.04 × 200.48
  4. Step 4: Simplify right side
    344.64x = 103,656.18
  5. Step 5: Solve for x
    x = 103,656.18/344.64
  6. Step 6: Final answer
    x = 300.77

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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.