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Finding the Fourth Proportional to 338.86, 507.48 and 257.05

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Solution

The fourth proportional to 338.86, 507.48 and 257.05 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.86 : 507.48 = 257.05 : x
  2. Step 2: Convert to fraction form
    338.86/507.48 = 257.05/x
  3. Step 3: Cross multiply
    338.86x = 507.48 × 257.05
  4. Step 4: Simplify right side
    338.86x = 130,447.73
  5. Step 5: Solve for x
    x = 130,447.73/338.86
  6. Step 6: Final answer
    x = 384.96

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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.