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Finding the Fourth Proportional to 309.85, 464.33 and 200.00

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Solution

The fourth proportional to 309.85, 464.33 and 200.00 is: 299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 464.33 = 200.00 : x
  2. Step 2: Convert to fraction form
    309.85/464.33 = 200.00/x
  3. Step 3: Cross multiply
    309.85x = 464.33 × 200.00
  4. Step 4: Simplify right side
    309.85x = 92,867.66
  5. Step 5: Solve for x
    x = 92,867.66/309.85
  6. Step 6: Final answer
    x = 299.72

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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.