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Finding the Fourth Proportional to 316.26, 436.86 and 257.94

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Solution

The fourth proportional to 316.26, 436.86 and 257.94 is: 356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.26 : 436.86 = 257.94 : x
  2. Step 2: Convert to fraction form
    316.26/436.86 = 257.94/x
  3. Step 3: Cross multiply
    316.26x = 436.86 × 257.94
  4. Step 4: Simplify right side
    316.26x = 112,683.67
  5. Step 5: Solve for x
    x = 112,683.67/316.26
  6. Step 6: Final answer
    x = 356.30

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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.