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Finding the Fourth Proportional to 483.67, 667.14 and 409.86

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Solution

The fourth proportional to 483.67, 667.14 and 409.86 is: 565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.67 : 667.14 = 409.86 : x
  2. Step 2: Convert to fraction form
    483.67/667.14 = 409.86/x
  3. Step 3: Cross multiply
    483.67x = 667.14 × 409.86
  4. Step 4: Simplify right side
    483.67x = 273,432.46
  5. Step 5: Solve for x
    x = 273,432.46/483.67
  6. Step 6: Final answer
    x = 565.33

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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.