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Finding the Fourth Proportional to 392.63, 541.89 and 293.54

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Solution

The fourth proportional to 392.63, 541.89 and 293.54 is: 405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 541.89 = 293.54 : x
  2. Step 2: Convert to fraction form
    392.63/541.89 = 293.54/x
  3. Step 3: Cross multiply
    392.63x = 541.89 × 293.54
  4. Step 4: Simplify right side
    392.63x = 159,066.81
  5. Step 5: Solve for x
    x = 159,066.81/392.63
  6. Step 6: Final answer
    x = 405.14

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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.