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Finding the Fourth Proportional to 402.45, 602.12 and 245.71

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Solution

The fourth proportional to 402.45, 602.12 and 245.71 is: 367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.45 : 602.12 = 245.71 : x
  2. Step 2: Convert to fraction form
    402.45/602.12 = 245.71/x
  3. Step 3: Cross multiply
    402.45x = 602.12 × 245.71
  4. Step 4: Simplify right side
    402.45x = 147,945.68
  5. Step 5: Solve for x
    x = 147,945.68/402.45
  6. Step 6: Final answer
    x = 367.62

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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.