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Finding the Fourth Proportional to 484.92, 669.18 and 263.88

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Solution

The fourth proportional to 484.92, 669.18 and 263.88 is: 364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 669.18 = 263.88 : x
  2. Step 2: Convert to fraction form
    484.92/669.18 = 263.88/x
  3. Step 3: Cross multiply
    484.92x = 669.18 × 263.88
  4. Step 4: Simplify right side
    484.92x = 176,583.22
  5. Step 5: Solve for x
    x = 176,583.22/484.92
  6. Step 6: Final answer
    x = 364.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.