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Finding the Fourth Proportional to 473.16, 709.02 and 226.08

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Solution

The fourth proportional to 473.16, 709.02 and 226.08 is: 338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.16 : 709.02 = 226.08 : x
  2. Step 2: Convert to fraction form
    473.16/709.02 = 226.08/x
  3. Step 3: Cross multiply
    473.16x = 709.02 × 226.08
  4. Step 4: Simplify right side
    473.16x = 160,295.24
  5. Step 5: Solve for x
    x = 160,295.24/473.16
  6. Step 6: Final answer
    x = 338.78

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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.