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Finding the Fourth Proportional to 402.72, 603.12 and 338.40

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Solution

The fourth proportional to 402.72, 603.12 and 338.40 is: 506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.72 : 603.12 = 338.40 : x
  2. Step 2: Convert to fraction form
    402.72/603.12 = 338.40/x
  3. Step 3: Cross multiply
    402.72x = 603.12 × 338.40
  4. Step 4: Simplify right side
    402.72x = 204,095.81
  5. Step 5: Solve for x
    x = 204,095.81/402.72
  6. Step 6: Final answer
    x = 506.79

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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.