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Finding the Fourth Proportional to 421.68, 632.76 and 205.44

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Solution

The fourth proportional to 421.68, 632.76 and 205.44 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 632.76 = 205.44 : x
  2. Step 2: Convert to fraction form
    421.68/632.76 = 205.44/x
  3. Step 3: Cross multiply
    421.68x = 632.76 × 205.44
  4. Step 4: Simplify right side
    421.68x = 129,994.21
  5. Step 5: Solve for x
    x = 129,994.21/421.68
  6. Step 6: Final answer
    x = 308.28

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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.