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Finding the Fourth Proportional to 392.29, 541.38 and 264.71

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Solution

The fourth proportional to 392.29, 541.38 and 264.71 is: 365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.29 : 541.38 = 264.71 : x
  2. Step 2: Convert to fraction form
    392.29/541.38 = 264.71/x
  3. Step 3: Cross multiply
    392.29x = 541.38 × 264.71
  4. Step 4: Simplify right side
    392.29x = 143,308.70
  5. Step 5: Solve for x
    x = 143,308.70/392.29
  6. Step 6: Final answer
    x = 365.31

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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.