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Finding the Fourth Proportional to 290.34, 434.43 and 267.39

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Solution

The fourth proportional to 290.34, 434.43 and 267.39 is: 400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.34 : 434.43 = 267.39 : x
  2. Step 2: Convert to fraction form
    290.34/434.43 = 267.39/x
  3. Step 3: Cross multiply
    290.34x = 434.43 × 267.39
  4. Step 4: Simplify right side
    290.34x = 116,162.24
  5. Step 5: Solve for x
    x = 116,162.24/290.34
  6. Step 6: Final answer
    x = 400.09

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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.