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Finding the Fourth Proportional to 473.81, 709.99 and 199.75

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Solution

The fourth proportional to 473.81, 709.99 and 199.75 is: 299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.81 : 709.99 = 199.75 : x
  2. Step 2: Convert to fraction form
    473.81/709.99 = 199.75/x
  3. Step 3: Cross multiply
    473.81x = 709.99 × 199.75
  4. Step 4: Simplify right side
    473.81x = 141,815.95
  5. Step 5: Solve for x
    x = 141,815.95/473.81
  6. Step 6: Final answer
    x = 299.31

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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.