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Finding the Fourth Proportional to 712.19, 982.83 and 397.47

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Solution

The fourth proportional to 712.19, 982.83 and 397.47 is: 548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.19 : 982.83 = 397.47 : x
  2. Step 2: Convert to fraction form
    712.19/982.83 = 397.47/x
  3. Step 3: Cross multiply
    712.19x = 982.83 × 397.47
  4. Step 4: Simplify right side
    712.19x = 390,650.62
  5. Step 5: Solve for x
    x = 390,650.62/712.19
  6. Step 6: Final answer
    x = 548.52

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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.