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Finding the Fourth Proportional to 392.40, 540.99 and 325.76

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Solution

The fourth proportional to 392.40, 540.99 and 325.76 is: 449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 540.99 = 325.76 : x
  2. Step 2: Convert to fraction form
    392.40/540.99 = 325.76/x
  3. Step 3: Cross multiply
    392.40x = 540.99 × 325.76
  4. Step 4: Simplify right side
    392.40x = 176,232.90
  5. Step 5: Solve for x
    x = 176,232.90/392.40
  6. Step 6: Final answer
    x = 449.12

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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.