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Finding the Fourth Proportional to 421.68, 632.39 and 216.36

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Solution

The fourth proportional to 421.68, 632.39 and 216.36 is: 324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 632.39 = 216.36 : x
  2. Step 2: Convert to fraction form
    421.68/632.39 = 216.36/x
  3. Step 3: Cross multiply
    421.68x = 632.39 × 216.36
  4. Step 4: Simplify right side
    421.68x = 136,822.82
  5. Step 5: Solve for x
    x = 136,822.82/421.68
  6. Step 6: Final answer
    x = 324.47

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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.