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Finding the Fourth Proportional to 701.48, 968.10 and 386.78

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Solution

The fourth proportional to 701.48, 968.10 and 386.78 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.48 : 968.10 = 386.78 : x
  2. Step 2: Convert to fraction form
    701.48/968.10 = 386.78/x
  3. Step 3: Cross multiply
    701.48x = 968.10 × 386.78
  4. Step 4: Simplify right side
    701.48x = 374,437.60
  5. Step 5: Solve for x
    x = 374,437.60/701.48
  6. Step 6: Final answer
    x = 533.78

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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.