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Finding the Fourth Proportional to 421.20, 631.60 and 215.66

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Solution

The fourth proportional to 421.20, 631.60 and 215.66 is: 323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.20 : 631.60 = 215.66 : x
  2. Step 2: Convert to fraction form
    421.20/631.60 = 215.66/x
  3. Step 3: Cross multiply
    421.20x = 631.60 × 215.66
  4. Step 4: Simplify right side
    421.20x = 136,211.90
  5. Step 5: Solve for x
    x = 136,211.90/421.20
  6. Step 6: Final answer
    x = 323.39

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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.