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Finding the Fourth Proportional to 484.94, 669.26 and 406.12

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Solution

The fourth proportional to 484.94, 669.26 and 406.12 is: 560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.94 : 669.26 = 406.12 : x
  2. Step 2: Convert to fraction form
    484.94/669.26 = 406.12/x
  3. Step 3: Cross multiply
    484.94x = 669.26 × 406.12
  4. Step 4: Simplify right side
    484.94x = 271,799.87
  5. Step 5: Solve for x
    x = 271,799.87/484.94
  6. Step 6: Final answer
    x = 560.48

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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.