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Finding the Fourth Proportional to 447.39, 669.60 and 315.36

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Solution

The fourth proportional to 447.39, 669.60 and 315.36 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 669.60 = 315.36 : x
  2. Step 2: Convert to fraction form
    447.39/669.60 = 315.36/x
  3. Step 3: Cross multiply
    447.39x = 669.60 × 315.36
  4. Step 4: Simplify right side
    447.39x = 211,165.06
  5. Step 5: Solve for x
    x = 211,165.06/447.39
  6. Step 6: Final answer
    x = 471.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.