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Finding the Fourth Proportional to 344.81, 475.65 and 204.89

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Solution

The fourth proportional to 344.81, 475.65 and 204.89 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 475.65 = 204.89 : x
  2. Step 2: Convert to fraction form
    344.81/475.65 = 204.89/x
  3. Step 3: Cross multiply
    344.81x = 475.65 × 204.89
  4. Step 4: Simplify right side
    344.81x = 97,453.55
  5. Step 5: Solve for x
    x = 97,453.55/344.81
  6. Step 6: Final answer
    x = 282.63

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