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Finding the Fourth Proportional to 484.85, 669.04 and 285.71

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Solution

The fourth proportional to 484.85, 669.04 and 285.71 is: 394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.85 : 669.04 = 285.71 : x
  2. Step 2: Convert to fraction form
    484.85/669.04 = 285.71/x
  3. Step 3: Cross multiply
    484.85x = 669.04 × 285.71
  4. Step 4: Simplify right side
    484.85x = 191,147.36
  5. Step 5: Solve for x
    x = 191,147.36/484.85
  6. Step 6: Final answer
    x = 394.24

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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.