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Finding the Fourth Proportional to 397.53, 547.38 and 348.12

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Solution

The fourth proportional to 397.53, 547.38 and 348.12 is: 479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 547.38 = 348.12 : x
  2. Step 2: Convert to fraction form
    397.53/547.38 = 348.12/x
  3. Step 3: Cross multiply
    397.53x = 547.38 × 348.12
  4. Step 4: Simplify right side
    397.53x = 190,553.93
  5. Step 5: Solve for x
    x = 190,553.93/397.53
  6. Step 6: Final answer
    x = 479.34

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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.