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Finding the Fourth Proportional to 701.20, 967.73 and 386.53

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Solution

The fourth proportional to 701.20, 967.73 and 386.53 is: 533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.20 : 967.73 = 386.53 : x
  2. Step 2: Convert to fraction form
    701.20/967.73 = 386.53/x
  3. Step 3: Cross multiply
    701.20x = 967.73 × 386.53
  4. Step 4: Simplify right side
    701.20x = 374,056.68
  5. Step 5: Solve for x
    x = 374,056.68/701.20
  6. Step 6: Final answer
    x = 533.45

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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.