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Finding the Fourth Proportional to 391.32, 540.03 and 234

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Solution

The fourth proportional to 391.32, 540.03 and 234 is: 322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.32 : 540.03 = 234 : x
  2. Step 2: Convert to fraction form
    391.32/540.03 = 234/x
  3. Step 3: Cross multiply
    391.32x = 540.03 × 234
  4. Step 4: Simplify right side
    391.32x = 126,367.02
  5. Step 5: Solve for x
    x = 126,367.02/391.32
  6. Step 6: Final answer
    x = 322.93

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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.