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Finding the Fourth Proportional to 473.45, 709.65 and 229.43

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Solution

The fourth proportional to 473.45, 709.65 and 229.43 is: 343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.45 : 709.65 = 229.43 : x
  2. Step 2: Convert to fraction form
    473.45/709.65 = 229.43/x
  3. Step 3: Cross multiply
    473.45x = 709.65 × 229.43
  4. Step 4: Simplify right side
    473.45x = 162,811.45
  5. Step 5: Solve for x
    x = 162,811.45/473.45
  6. Step 6: Final answer
    x = 343.89

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