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Finding the Fourth Proportional to 290.46, 401.06 and 224.85

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Solution

The fourth proportional to 290.46, 401.06 and 224.85 is: 310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 401.06 = 224.85 : x
  2. Step 2: Convert to fraction form
    290.46/401.06 = 224.85/x
  3. Step 3: Cross multiply
    290.46x = 401.06 × 224.85
  4. Step 4: Simplify right side
    290.46x = 90,178.34
  5. Step 5: Solve for x
    x = 90,178.34/290.46
  6. Step 6: Final answer
    x = 310.47

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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.