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Finding the Fourth Proportional to 392.16, 541.20 and 293.76

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Solution

The fourth proportional to 392.16, 541.20 and 293.76 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 541.20 = 293.76 : x
  2. Step 2: Convert to fraction form
    392.16/541.20 = 293.76/x
  3. Step 3: Cross multiply
    392.16x = 541.20 × 293.76
  4. Step 4: Simplify right side
    392.16x = 158,982.91
  5. Step 5: Solve for x
    x = 158,982.91/392.16
  6. Step 6: Final answer
    x = 405.40

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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.