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Finding the Fourth Proportional to 394.58, 594.97 and 362.30

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Solution

The fourth proportional to 394.58, 594.97 and 362.30 is: 546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.58 : 594.97 = 362.30 : x
  2. Step 2: Convert to fraction form
    394.58/594.97 = 362.30/x
  3. Step 3: Cross multiply
    394.58x = 594.97 × 362.30
  4. Step 4: Simplify right side
    394.58x = 215,553.75
  5. Step 5: Solve for x
    x = 215,553.75/394.58
  6. Step 6: Final answer
    x = 546.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.