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Finding the Fourth Proportional to 609.48, 840.12 and 376.20

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Solution

The fourth proportional to 609.48, 840.12 and 376.20 is: 518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.48 : 840.12 = 376.20 : x
  2. Step 2: Convert to fraction form
    609.48/840.12 = 376.20/x
  3. Step 3: Cross multiply
    609.48x = 840.12 × 376.20
  4. Step 4: Simplify right side
    609.48x = 316,053.14
  5. Step 5: Solve for x
    x = 316,053.14/609.48
  6. Step 6: Final answer
    x = 518.56

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