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Finding the Fourth Proportional to 484.91, 669.16 and 263.86

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Solution

The fourth proportional to 484.91, 669.16 and 263.86 is: 364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.91 : 669.16 = 263.86 : x
  2. Step 2: Convert to fraction form
    484.91/669.16 = 263.86/x
  3. Step 3: Cross multiply
    484.91x = 669.16 × 263.86
  4. Step 4: Simplify right side
    484.91x = 176,565.72
  5. Step 5: Solve for x
    x = 176,565.72/484.91
  6. Step 6: Final answer
    x = 364.12

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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.