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Finding the Fourth Proportional to 407.60, 609.97 and 333.62

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Solution

The fourth proportional to 407.60, 609.97 and 333.62 is: 499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 609.97 = 333.62 : x
  2. Step 2: Convert to fraction form
    407.60/609.97 = 333.62/x
  3. Step 3: Cross multiply
    407.60x = 609.97 × 333.62
  4. Step 4: Simplify right side
    407.60x = 203,498.19
  5. Step 5: Solve for x
    x = 203,498.19/407.60
  6. Step 6: Final answer
    x = 499.26

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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.