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Finding the Fourth Proportional to 397.53, 548.10 and 341.91

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Solution

The fourth proportional to 397.53, 548.10 and 341.91 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 548.10 = 341.91 : x
  2. Step 2: Convert to fraction form
    397.53/548.10 = 341.91/x
  3. Step 3: Cross multiply
    397.53x = 548.10 × 341.91
  4. Step 4: Simplify right side
    397.53x = 187,400.87
  5. Step 5: Solve for x
    x = 187,400.87/397.53
  6. Step 6: Final answer
    x = 471.41

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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.