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Finding the Fourth Proportional to 473.12, 709.40 and 226.24

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Solution

The fourth proportional to 473.12, 709.40 and 226.24 is: 339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 709.40 = 226.24 : x
  2. Step 2: Convert to fraction form
    473.12/709.40 = 226.24/x
  3. Step 3: Cross multiply
    473.12x = 709.40 × 226.24
  4. Step 4: Simplify right side
    473.12x = 160,493.45
  5. Step 5: Solve for x
    x = 160,493.45/473.12
  6. Step 6: Final answer
    x = 339.22

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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.