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Finding the Fourth Proportional to 397.15, 547.48 and 257.22

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Solution

The fourth proportional to 397.15, 547.48 and 257.22 is: 354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.15 : 547.48 = 257.22 : x
  2. Step 2: Convert to fraction form
    397.15/547.48 = 257.22/x
  3. Step 3: Cross multiply
    397.15x = 547.48 × 257.22
  4. Step 4: Simplify right side
    397.15x = 140,823.13
  5. Step 5: Solve for x
    x = 140,823.13/397.15
  6. Step 6: Final answer
    x = 354.59

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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.