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Finding the Fourth Proportional to 484.46, 668.09 and 352.54

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Solution

The fourth proportional to 484.46, 668.09 and 352.54 is: 486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.46 : 668.09 = 352.54 : x
  2. Step 2: Convert to fraction form
    484.46/668.09 = 352.54/x
  3. Step 3: Cross multiply
    484.46x = 668.09 × 352.54
  4. Step 4: Simplify right side
    484.46x = 235,528.45
  5. Step 5: Solve for x
    x = 235,528.45/484.46
  6. Step 6: Final answer
    x = 486.17

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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.