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Finding the Fourth Proportional to 701.34, 967.85 and 390.84

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Solution

The fourth proportional to 701.34, 967.85 and 390.84 is: 539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.34 : 967.85 = 390.84 : x
  2. Step 2: Convert to fraction form
    701.34/967.85 = 390.84/x
  3. Step 3: Cross multiply
    701.34x = 967.85 × 390.84
  4. Step 4: Simplify right side
    701.34x = 378,274.49
  5. Step 5: Solve for x
    x = 378,274.49/701.34
  6. Step 6: Final answer
    x = 539.36

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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.