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Finding the Fourth Proportional to 485.47, 670.49 and 447.19

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Solution

The fourth proportional to 485.47, 670.49 and 447.19 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.47 : 670.49 = 447.19 : x
  2. Step 2: Convert to fraction form
    485.47/670.49 = 447.19/x
  3. Step 3: Cross multiply
    485.47x = 670.49 × 447.19
  4. Step 4: Simplify right side
    485.47x = 299,836.42
  5. Step 5: Solve for x
    x = 299,836.42/485.47
  6. Step 6: Final answer
    x = 617.62

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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.