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Finding the Fourth Proportional to 440.89, 609.30 and 362.09

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Solution

The fourth proportional to 440.89, 609.30 and 362.09 is: 500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.89 : 609.30 = 362.09 : x
  2. Step 2: Convert to fraction form
    440.89/609.30 = 362.09/x
  3. Step 3: Cross multiply
    440.89x = 609.30 × 362.09
  4. Step 4: Simplify right side
    440.89x = 220,621.44
  5. Step 5: Solve for x
    x = 220,621.44/440.89
  6. Step 6: Final answer
    x = 500.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.