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Finding the Fourth Proportional to 601.38, 902.13 and 216.63

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Solution

The fourth proportional to 601.38, 902.13 and 216.63 is: 324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 902.13 = 216.63 : x
  2. Step 2: Convert to fraction form
    601.38/902.13 = 216.63/x
  3. Step 3: Cross multiply
    601.38x = 902.13 × 216.63
  4. Step 4: Simplify right side
    601.38x = 195,428.42
  5. Step 5: Solve for x
    x = 195,428.42/601.38
  6. Step 6: Final answer
    x = 324.97

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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.