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Finding the Fourth Proportional to 609.64, 839.14 and 459.88

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Solution

The fourth proportional to 609.64, 839.14 and 459.88 is: 633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.64 : 839.14 = 459.88 : x
  2. Step 2: Convert to fraction form
    609.64/839.14 = 459.88/x
  3. Step 3: Cross multiply
    609.64x = 839.14 × 459.88
  4. Step 4: Simplify right side
    609.64x = 385,903.70
  5. Step 5: Solve for x
    x = 385,903.70/609.64
  6. Step 6: Final answer
    x = 633.00

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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.