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Finding the Fourth Proportional to 397.32, 547.83 and 341.96

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Solution

The fourth proportional to 397.32, 547.83 and 341.96 is: 471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.32 : 547.83 = 341.96 : x
  2. Step 2: Convert to fraction form
    397.32/547.83 = 341.96/x
  3. Step 3: Cross multiply
    397.32x = 547.83 × 341.96
  4. Step 4: Simplify right side
    397.32x = 187,335.61
  5. Step 5: Solve for x
    x = 187,335.61/397.32
  6. Step 6: Final answer
    x = 471.50

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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.