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Finding the Fourth Proportional to 343.28, 512.62 and 300.08

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Solution

The fourth proportional to 343.28, 512.62 and 300.08 is: 448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.28 : 512.62 = 300.08 : x
  2. Step 2: Convert to fraction form
    343.28/512.62 = 300.08/x
  3. Step 3: Cross multiply
    343.28x = 512.62 × 300.08
  4. Step 4: Simplify right side
    343.28x = 153,827.01
  5. Step 5: Solve for x
    x = 153,827.01/343.28
  6. Step 6: Final answer
    x = 448.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.