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Finding the Fourth Proportional to 290.54, 436.04 and 213.71

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Solution

The fourth proportional to 290.54, 436.04 and 213.71 is: 320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.54 : 436.04 = 213.71 : x
  2. Step 2: Convert to fraction form
    290.54/436.04 = 213.71/x
  3. Step 3: Cross multiply
    290.54x = 436.04 × 213.71
  4. Step 4: Simplify right side
    290.54x = 93,182.86
  5. Step 5: Solve for x
    x = 93,182.86/290.54
  6. Step 6: Final answer
    x = 320.73

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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.