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Finding the Fourth Proportional to 423.14, 633.74 and 217.32

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Solution

The fourth proportional to 423.14, 633.74 and 217.32 is: 325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.14 : 633.74 = 217.32 : x
  2. Step 2: Convert to fraction form
    423.14/633.74 = 217.32/x
  3. Step 3: Cross multiply
    423.14x = 633.74 × 217.32
  4. Step 4: Simplify right side
    423.14x = 137,723.29
  5. Step 5: Solve for x
    x = 137,723.29/423.14
  6. Step 6: Final answer
    x = 325.48

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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.