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Finding the Fourth Proportional to 421.46, 632.20 and 216.20

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Solution

The fourth proportional to 421.46, 632.20 and 216.20 is: 324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.46 : 632.20 = 216.20 : x
  2. Step 2: Convert to fraction form
    421.46/632.20 = 216.20/x
  3. Step 3: Cross multiply
    421.46x = 632.20 × 216.20
  4. Step 4: Simplify right side
    421.46x = 136,681.64
  5. Step 5: Solve for x
    x = 136,681.64/421.46
  6. Step 6: Final answer
    x = 324.31

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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.