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Finding the Fourth Proportional to 484.88, 669.13 and 263.84

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Solution

The fourth proportional to 484.88, 669.13 and 263.84 is: 364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 669.13 = 263.84 : x
  2. Step 2: Convert to fraction form
    484.88/669.13 = 263.84/x
  3. Step 3: Cross multiply
    484.88x = 669.13 × 263.84
  4. Step 4: Simplify right side
    484.88x = 176,539.25
  5. Step 5: Solve for x
    x = 176,539.25/484.88
  6. Step 6: Final answer
    x = 364.09

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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.