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Finding the Fourth Proportional to 609.42, 840.72 and 399.78

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Solution

The fourth proportional to 609.42, 840.72 and 399.78 is: 551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.42 : 840.72 = 399.78 : x
  2. Step 2: Convert to fraction form
    609.42/840.72 = 399.78/x
  3. Step 3: Cross multiply
    609.42x = 840.72 × 399.78
  4. Step 4: Simplify right side
    609.42x = 336,103.04
  5. Step 5: Solve for x
    x = 336,103.04/609.42
  6. Step 6: Final answer
    x = 551.51

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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.