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Finding the Fourth Proportional to 290.74, 436.32 and 213.90

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Solution

The fourth proportional to 290.74, 436.32 and 213.90 is: 321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.74 : 436.32 = 213.90 : x
  2. Step 2: Convert to fraction form
    290.74/436.32 = 213.90/x
  3. Step 3: Cross multiply
    290.74x = 436.32 × 213.90
  4. Step 4: Simplify right side
    290.74x = 93,328.85
  5. Step 5: Solve for x
    x = 93,328.85/290.74
  6. Step 6: Final answer
    x = 321.00

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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.