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Finding the Fourth Proportional to 701.57, 968.18 and 386.82

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Solution

The fourth proportional to 701.57, 968.18 and 386.82 is: 533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.57 : 968.18 = 386.82 : x
  2. Step 2: Convert to fraction form
    701.57/968.18 = 386.82/x
  3. Step 3: Cross multiply
    701.57x = 968.18 × 386.82
  4. Step 4: Simplify right side
    701.57x = 374,509.45
  5. Step 5: Solve for x
    x = 374,509.45/701.57
  6. Step 6: Final answer
    x = 533.82

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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.