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Finding the Fourth Proportional to 421.78, 633.06 and 216.50

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Solution

The fourth proportional to 421.78, 633.06 and 216.50 is: 324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.78 : 633.06 = 216.50 : x
  2. Step 2: Convert to fraction form
    421.78/633.06 = 216.50/x
  3. Step 3: Cross multiply
    421.78x = 633.06 × 216.50
  4. Step 4: Simplify right side
    421.78x = 137,057.49
  5. Step 5: Solve for x
    x = 137,057.49/421.78
  6. Step 6: Final answer
    x = 324.95

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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.