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Finding the Fourth Proportional to 397.58, 548.71 and 257.87

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Solution

The fourth proportional to 397.58, 548.71 and 257.87 is: 355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.58 : 548.71 = 257.87 : x
  2. Step 2: Convert to fraction form
    397.58/548.71 = 257.87/x
  3. Step 3: Cross multiply
    397.58x = 548.71 × 257.87
  4. Step 4: Simplify right side
    397.58x = 141,496.57
  5. Step 5: Solve for x
    x = 141,496.57/397.58
  6. Step 6: Final answer
    x = 355.90

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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.