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Finding the Fourth Proportional to 711.85, 982.37 and 397.12

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Solution

The fourth proportional to 711.85, 982.37 and 397.12 is: 548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.85 : 982.37 = 397.12 : x
  2. Step 2: Convert to fraction form
    711.85/982.37 = 397.12/x
  3. Step 3: Cross multiply
    711.85x = 982.37 × 397.12
  4. Step 4: Simplify right side
    711.85x = 390,118.77
  5. Step 5: Solve for x
    x = 390,118.77/711.85
  6. Step 6: Final answer
    x = 548.04

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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.