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Finding the Fourth Proportional to 488.64, 733.22 and 200

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Solution

The fourth proportional to 488.64, 733.22 and 200 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 733.22 = 200 : x
  2. Step 2: Convert to fraction form
    488.64/733.22 = 200/x
  3. Step 3: Cross multiply
    488.64x = 733.22 × 200
  4. Step 4: Simplify right side
    488.64x = 146,644
  5. Step 5: Solve for x
    x = 146,644/488.64
  6. Step 6: Final answer
    x = 300.11

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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.