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Finding the Fourth Proportional to 609, 840.42 and 425.32

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Solution

The fourth proportional to 609, 840.42 and 425.32 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    609 : 840.42 = 425.32 : x
  2. Step 2: Convert to fraction form
    609/840.42 = 425.32/x
  3. Step 3: Cross multiply
    609x = 840.42 × 425.32
  4. Step 4: Simplify right side
    609x = 357,447.43
  5. Step 5: Solve for x
    x = 357,447.43/609
  6. Step 6: Final answer
    x = 586.94

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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.