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Finding the Fourth Proportional to 290.56, 435.26 and 266.94

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Solution

The fourth proportional to 290.56, 435.26 and 266.94 is: 399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.56 : 435.26 = 266.94 : x
  2. Step 2: Convert to fraction form
    290.56/435.26 = 266.94/x
  3. Step 3: Cross multiply
    290.56x = 435.26 × 266.94
  4. Step 4: Simplify right side
    290.56x = 116,188.30
  5. Step 5: Solve for x
    x = 116,188.30/290.56
  6. Step 6: Final answer
    x = 399.88

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Why These Related Problems?

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