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Finding the Fourth Proportional to 473.48, 713.64 and 447

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Solution

The fourth proportional to 473.48, 713.64 and 447 is: 673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.48 : 713.64 = 447 : x
  2. Step 2: Convert to fraction form
    473.48/713.64 = 447/x
  3. Step 3: Cross multiply
    473.48x = 713.64 × 447
  4. Step 4: Simplify right side
    473.48x = 318,997.08
  5. Step 5: Solve for x
    x = 318,997.08/473.48
  6. Step 6: Final answer
    x = 673.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.