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Finding the Fourth Proportional to 331.65, 457.36 and 257.13

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Solution

The fourth proportional to 331.65, 457.36 and 257.13 is: 354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.65 : 457.36 = 257.13 : x
  2. Step 2: Convert to fraction form
    331.65/457.36 = 257.13/x
  3. Step 3: Cross multiply
    331.65x = 457.36 × 257.13
  4. Step 4: Simplify right side
    331.65x = 117,600.33
  5. Step 5: Solve for x
    x = 117,600.33/331.65
  6. Step 6: Final answer
    x = 354.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.