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Finding the Fourth Proportional to 286.10, 426.49 and 282.86

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Solution

The fourth proportional to 286.10, 426.49 and 282.86 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.10 : 426.49 = 282.86 : x
  2. Step 2: Convert to fraction form
    286.10/426.49 = 282.86/x
  3. Step 3: Cross multiply
    286.10x = 426.49 × 282.86
  4. Step 4: Simplify right side
    286.10x = 120,636.96
  5. Step 5: Solve for x
    x = 120,636.96/286.10
  6. Step 6: Final answer
    x = 421.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.