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Finding the Fourth Proportional to 609.14, 840.08 and 431.75

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Solution

The fourth proportional to 609.14, 840.08 and 431.75 is: 595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.14 : 840.08 = 431.75 : x
  2. Step 2: Convert to fraction form
    609.14/840.08 = 431.75/x
  3. Step 3: Cross multiply
    609.14x = 840.08 × 431.75
  4. Step 4: Simplify right side
    609.14x = 362,698.18
  5. Step 5: Solve for x
    x = 362,698.18/609.14
  6. Step 6: Final answer
    x = 595.43

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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.