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Finding the Fourth Proportional to 290.28, 400.50 and 262.56

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Solution

The fourth proportional to 290.28, 400.50 and 262.56 is: 362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.28 : 400.50 = 262.56 : x
  2. Step 2: Convert to fraction form
    290.28/400.50 = 262.56/x
  3. Step 3: Cross multiply
    290.28x = 400.50 × 262.56
  4. Step 4: Simplify right side
    290.28x = 105,155.28
  5. Step 5: Solve for x
    x = 105,155.28/290.28
  6. Step 6: Final answer
    x = 362.25

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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.