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Finding the Fourth Proportional to 344.75, 475.65 and 204.90

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Solution

The fourth proportional to 344.75, 475.65 and 204.90 is: 282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 475.65 = 204.90 : x
  2. Step 2: Convert to fraction form
    344.75/475.65 = 204.90/x
  3. Step 3: Cross multiply
    344.75x = 475.65 × 204.90
  4. Step 4: Simplify right side
    344.75x = 97,460.69
  5. Step 5: Solve for x
    x = 97,460.69/344.75
  6. Step 6: Final answer
    x = 282.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.