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Finding the Fourth Proportional to 609.14, 840.20 and 432.36

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Solution

The fourth proportional to 609.14, 840.20 and 432.36 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.14 : 840.20 = 432.36 : x
  2. Step 2: Convert to fraction form
    609.14/840.20 = 432.36/x
  3. Step 3: Cross multiply
    609.14x = 840.20 × 432.36
  4. Step 4: Simplify right side
    609.14x = 363,266.71
  5. Step 5: Solve for x
    x = 363,266.71/609.14
  6. Step 6: Final answer
    x = 596.36

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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.