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Finding the Fourth Proportional to 301.34, 414.51 and 257.60

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Solution

The fourth proportional to 301.34, 414.51 and 257.60 is: 354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.34 : 414.51 = 257.60 : x
  2. Step 2: Convert to fraction form
    301.34/414.51 = 257.60/x
  3. Step 3: Cross multiply
    301.34x = 414.51 × 257.60
  4. Step 4: Simplify right side
    301.34x = 106,777.78
  5. Step 5: Solve for x
    x = 106,777.78/301.34
  6. Step 6: Final answer
    x = 354.34

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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.