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Finding the Fourth Proportional to 421.38, 632.16 and 216.06

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Solution

The fourth proportional to 421.38, 632.16 and 216.06 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.38 : 632.16 = 216.06 : x
  2. Step 2: Convert to fraction form
    421.38/632.16 = 216.06/x
  3. Step 3: Cross multiply
    421.38x = 632.16 × 216.06
  4. Step 4: Simplify right side
    421.38x = 136,584.49
  5. Step 5: Solve for x
    x = 136,584.49/421.38
  6. Step 6: Final answer
    x = 324.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.