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Finding the Fourth Proportional to 684.75, 944.92 and 386.00

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Solution

The fourth proportional to 684.75, 944.92 and 386.00 is: 532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 944.92 = 386.00 : x
  2. Step 2: Convert to fraction form
    684.75/944.92 = 386.00/x
  3. Step 3: Cross multiply
    684.75x = 944.92 × 386.00
  4. Step 4: Simplify right side
    684.75x = 364,736.25
  5. Step 5: Solve for x
    x = 364,736.25/684.75
  6. Step 6: Final answer
    x = 532.66

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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.