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Finding the Fourth Proportional to 397.64, 548.16 and 257.74

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Solution

The fourth proportional to 397.64, 548.16 and 257.74 is: 355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.64 : 548.16 = 257.74 : x
  2. Step 2: Convert to fraction form
    397.64/548.16 = 257.74/x
  3. Step 3: Cross multiply
    397.64x = 548.16 × 257.74
  4. Step 4: Simplify right side
    397.64x = 141,282.76
  5. Step 5: Solve for x
    x = 141,282.76/397.64
  6. Step 6: Final answer
    x = 355.30

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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.