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Finding the Fourth Proportional to 392.49, 541.05 and 309.45

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Solution

The fourth proportional to 392.49, 541.05 and 309.45 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.49 : 541.05 = 309.45 : x
  2. Step 2: Convert to fraction form
    392.49/541.05 = 309.45/x
  3. Step 3: Cross multiply
    392.49x = 541.05 × 309.45
  4. Step 4: Simplify right side
    392.49x = 167,427.92
  5. Step 5: Solve for x
    x = 167,427.92/392.49
  6. Step 6: Final answer
    x = 426.58

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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.