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Finding the Fourth Proportional to 290.21, 433.02 and 262.85

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Solution

The fourth proportional to 290.21, 433.02 and 262.85 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.21 : 433.02 = 262.85 : x
  2. Step 2: Convert to fraction form
    290.21/433.02 = 262.85/x
  3. Step 3: Cross multiply
    290.21x = 433.02 × 262.85
  4. Step 4: Simplify right side
    290.21x = 113,819.31
  5. Step 5: Solve for x
    x = 113,819.31/290.21
  6. Step 6: Final answer
    x = 392.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.