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Finding the Fourth Proportional to 484.57, 668.72 and 316.34

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Solution

The fourth proportional to 484.57, 668.72 and 316.34 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.57 : 668.72 = 316.34 : x
  2. Step 2: Convert to fraction form
    484.57/668.72 = 316.34/x
  3. Step 3: Cross multiply
    484.57x = 668.72 × 316.34
  4. Step 4: Simplify right side
    484.57x = 211,542.88
  5. Step 5: Solve for x
    x = 211,542.88/484.57
  6. Step 6: Final answer
    x = 436.56

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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.