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Finding the Fourth Proportional to 484.08, 668.40 and 447.24

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Solution

The fourth proportional to 484.08, 668.40 and 447.24 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.08 : 668.40 = 447.24 : x
  2. Step 2: Convert to fraction form
    484.08/668.40 = 447.24/x
  3. Step 3: Cross multiply
    484.08x = 668.40 × 447.24
  4. Step 4: Simplify right side
    484.08x = 298,935.22
  5. Step 5: Solve for x
    x = 298,935.22/484.08
  6. Step 6: Final answer
    x = 617.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.