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Finding the Fourth Proportional to 338.82, 507.30 and 257.46

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Solution

The fourth proportional to 338.82, 507.30 and 257.46 is: 385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 507.30 = 257.46 : x
  2. Step 2: Convert to fraction form
    338.82/507.30 = 257.46/x
  3. Step 3: Cross multiply
    338.82x = 507.30 × 257.46
  4. Step 4: Simplify right side
    338.82x = 130,609.46
  5. Step 5: Solve for x
    x = 130,609.46/338.82
  6. Step 6: Final answer
    x = 385.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.