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Finding the Fourth Proportional to 701.40, 967.94 and 386.70

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Solution

The fourth proportional to 701.40, 967.94 and 386.70 is: 533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.40 : 967.94 = 386.70 : x
  2. Step 2: Convert to fraction form
    701.40/967.94 = 386.70/x
  3. Step 3: Cross multiply
    701.40x = 967.94 × 386.70
  4. Step 4: Simplify right side
    701.40x = 374,302.40
  5. Step 5: Solve for x
    x = 374,302.40/701.40
  6. Step 6: Final answer
    x = 533.65

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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.