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Finding the Fourth Proportional to 286.79, 429.10 and 200.29

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Solution

The fourth proportional to 286.79, 429.10 and 200.29 is: 299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.79 : 429.10 = 200.29 : x
  2. Step 2: Convert to fraction form
    286.79/429.10 = 200.29/x
  3. Step 3: Cross multiply
    286.79x = 429.10 × 200.29
  4. Step 4: Simplify right side
    286.79x = 85,943.67
  5. Step 5: Solve for x
    x = 85,943.67/286.79
  6. Step 6: Final answer
    x = 299.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.