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Finding the Fourth Proportional to 427.32, 589.32 and 394.92

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Solution

The fourth proportional to 427.32, 589.32 and 394.92 is: 544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.32 : 589.32 = 394.92 : x
  2. Step 2: Convert to fraction form
    427.32/589.32 = 394.92/x
  3. Step 3: Cross multiply
    427.32x = 589.32 × 394.92
  4. Step 4: Simplify right side
    427.32x = 232,734.25
  5. Step 5: Solve for x
    x = 232,734.25/427.32
  6. Step 6: Final answer
    x = 544.64

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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.