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Finding the Fourth Proportional to 344.99, 476.01 and 205.08

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Solution

The fourth proportional to 344.99, 476.01 and 205.08 is: 282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.99 : 476.01 = 205.08 : x
  2. Step 2: Convert to fraction form
    344.99/476.01 = 205.08/x
  3. Step 3: Cross multiply
    344.99x = 476.01 × 205.08
  4. Step 4: Simplify right side
    344.99x = 97,620.13
  5. Step 5: Solve for x
    x = 97,620.13/344.99
  6. Step 6: Final answer
    x = 282.97

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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.