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Finding the Fourth Proportional to 609.20, 840.18 and 434.24

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Solution

The fourth proportional to 609.20, 840.18 and 434.24 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.20 : 840.18 = 434.24 : x
  2. Step 2: Convert to fraction form
    609.20/840.18 = 434.24/x
  3. Step 3: Cross multiply
    609.20x = 840.18 × 434.24
  4. Step 4: Simplify right side
    609.20x = 364,839.76
  5. Step 5: Solve for x
    x = 364,839.76/609.20
  6. Step 6: Final answer
    x = 598.88

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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.