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Finding the Fourth Proportional to 484.86, 669.29 and 288.57

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Solution

The fourth proportional to 484.86, 669.29 and 288.57 is: 398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.86 : 669.29 = 288.57 : x
  2. Step 2: Convert to fraction form
    484.86/669.29 = 288.57/x
  3. Step 3: Cross multiply
    484.86x = 669.29 × 288.57
  4. Step 4: Simplify right side
    484.86x = 193,135.57
  5. Step 5: Solve for x
    x = 193,135.57/484.86
  6. Step 6: Final answer
    x = 398.33

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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.