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Finding the Fourth Proportional to 292.70, 406.72 and 289.22

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Solution

The fourth proportional to 292.70, 406.72 and 289.22 is: 401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.70 : 406.72 = 289.22 : x
  2. Step 2: Convert to fraction form
    292.70/406.72 = 289.22/x
  3. Step 3: Cross multiply
    292.70x = 406.72 × 289.22
  4. Step 4: Simplify right side
    292.70x = 117,630.11
  5. Step 5: Solve for x
    x = 117,630.11/292.70
  6. Step 6: Final answer
    x = 401.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.