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Finding the Fourth Proportional to 609.58, 840.54 and 580.42

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Solution

The fourth proportional to 609.58, 840.54 and 580.42 is: 800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.58 : 840.54 = 580.42 : x
  2. Step 2: Convert to fraction form
    609.58/840.54 = 580.42/x
  3. Step 3: Cross multiply
    609.58x = 840.54 × 580.42
  4. Step 4: Simplify right side
    609.58x = 487,866.23
  5. Step 5: Solve for x
    x = 487,866.23/609.58
  6. Step 6: Final answer
    x = 800.33

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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.