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Finding the Fourth Proportional to 290.86, 436.31 and 268.31

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Solution

The fourth proportional to 290.86, 436.31 and 268.31 is: 402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.86 : 436.31 = 268.31 : x
  2. Step 2: Convert to fraction form
    290.86/436.31 = 268.31/x
  3. Step 3: Cross multiply
    290.86x = 436.31 × 268.31
  4. Step 4: Simplify right side
    290.86x = 117,066.34
  5. Step 5: Solve for x
    x = 117,066.34/290.86
  6. Step 6: Final answer
    x = 402.48

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