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Finding the Fourth Proportional to 392.25, 541.25 and 333.47

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Solution

The fourth proportional to 392.25, 541.25 and 333.47 is: 460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 541.25 = 333.47 : x
  2. Step 2: Convert to fraction form
    392.25/541.25 = 333.47/x
  3. Step 3: Cross multiply
    392.25x = 541.25 × 333.47
  4. Step 4: Simplify right side
    392.25x = 180,491.57
  5. Step 5: Solve for x
    x = 180,491.57/392.25
  6. Step 6: Final answer
    x = 460.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.