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Finding the Fourth Proportional to 357.09, 492.33 and 257.46

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Solution

The fourth proportional to 357.09, 492.33 and 257.46 is: 354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.09 : 492.33 = 257.46 : x
  2. Step 2: Convert to fraction form
    357.09/492.33 = 257.46/x
  3. Step 3: Cross multiply
    357.09x = 492.33 × 257.46
  4. Step 4: Simplify right side
    357.09x = 126,755.28
  5. Step 5: Solve for x
    x = 126,755.28/357.09
  6. Step 6: Final answer
    x = 354.97

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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.