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Finding the Fourth Proportional to 397.42, 548.68 and 257.58

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Solution

The fourth proportional to 397.42, 548.68 and 257.58 is: 355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.42 : 548.68 = 257.58 : x
  2. Step 2: Convert to fraction form
    397.42/548.68 = 257.58/x
  3. Step 3: Cross multiply
    397.42x = 548.68 × 257.58
  4. Step 4: Simplify right side
    397.42x = 141,328.99
  5. Step 5: Solve for x
    x = 141,328.99/397.42
  6. Step 6: Final answer
    x = 355.62

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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.