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Finding the Fourth Proportional to 712.36, 983.03 and 397.67

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Solution

The fourth proportional to 712.36, 983.03 and 397.67 is: 548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 983.03 = 397.67 : x
  2. Step 2: Convert to fraction form
    712.36/983.03 = 397.67/x
  3. Step 3: Cross multiply
    712.36x = 983.03 × 397.67
  4. Step 4: Simplify right side
    712.36x = 390,914.64
  5. Step 5: Solve for x
    x = 390,914.64/712.36
  6. Step 6: Final answer
    x = 548.76

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Why These Related Problems?

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