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Finding the Fourth Proportional to 711.60, 982.08 and 449.64

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Solution

The fourth proportional to 711.60, 982.08 and 449.64 is: 620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.60 : 982.08 = 449.64 : x
  2. Step 2: Convert to fraction form
    711.60/982.08 = 449.64/x
  3. Step 3: Cross multiply
    711.60x = 982.08 × 449.64
  4. Step 4: Simplify right side
    711.60x = 441,582.45
  5. Step 5: Solve for x
    x = 441,582.45/711.60
  6. Step 6: Final answer
    x = 620.55

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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.