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Finding the Fourth Proportional to 392.75, 541.13 and 292.74

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Solution

The fourth proportional to 392.75, 541.13 and 292.74 is: 403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 541.13 = 292.74 : x
  2. Step 2: Convert to fraction form
    392.75/541.13 = 292.74/x
  3. Step 3: Cross multiply
    392.75x = 541.13 × 292.74
  4. Step 4: Simplify right side
    392.75x = 158,410.07
  5. Step 5: Solve for x
    x = 158,410.07/392.75
  6. Step 6: Final answer
    x = 403.34

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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.