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Finding the Fourth Proportional to 392.18, 541.76 and 293.76

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Solution

The fourth proportional to 392.18, 541.76 and 293.76 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.18 : 541.76 = 293.76 : x
  2. Step 2: Convert to fraction form
    392.18/541.76 = 293.76/x
  3. Step 3: Cross multiply
    392.18x = 541.76 × 293.76
  4. Step 4: Simplify right side
    392.18x = 159,145.95
  5. Step 5: Solve for x
    x = 159,145.95/392.18
  6. Step 6: Final answer
    x = 405.80

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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.