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Finding the Fourth Proportional to 391.22, 540.54 and 342.02

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Solution

The fourth proportional to 391.22, 540.54 and 342.02 is: 472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.22 : 540.54 = 342.02 : x
  2. Step 2: Convert to fraction form
    391.22/540.54 = 342.02/x
  3. Step 3: Cross multiply
    391.22x = 540.54 × 342.02
  4. Step 4: Simplify right side
    391.22x = 184,875.49
  5. Step 5: Solve for x
    x = 184,875.49/391.22
  6. Step 6: Final answer
    x = 472.56

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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.