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Finding the Fourth Proportional to 484.88, 669.13 and 298.31

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Solution

The fourth proportional to 484.88, 669.13 and 298.31 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 669.13 = 298.31 : x
  2. Step 2: Convert to fraction form
    484.88/669.13 = 298.31/x
  3. Step 3: Cross multiply
    484.88x = 669.13 × 298.31
  4. Step 4: Simplify right side
    484.88x = 199,604.08
  5. Step 5: Solve for x
    x = 199,604.08/484.88
  6. Step 6: Final answer
    x = 411.66

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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.