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Finding the Fourth Proportional to 404.14, 609.00 and 333.58

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Solution

The fourth proportional to 404.14, 609.00 and 333.58 is: 502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 609.00 = 333.58 : x
  2. Step 2: Convert to fraction form
    404.14/609.00 = 333.58/x
  3. Step 3: Cross multiply
    404.14x = 609.00 × 333.58
  4. Step 4: Simplify right side
    404.14x = 203,148.55
  5. Step 5: Solve for x
    x = 203,148.55/404.14
  6. Step 6: Final answer
    x = 502.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.