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Finding the Fourth Proportional to 473.56, 709.92 and 229.84

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Solution

The fourth proportional to 473.56, 709.92 and 229.84 is: 344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 709.92 = 229.84 : x
  2. Step 2: Convert to fraction form
    473.56/709.92 = 229.84/x
  3. Step 3: Cross multiply
    473.56x = 709.92 × 229.84
  4. Step 4: Simplify right side
    473.56x = 163,168.01
  5. Step 5: Solve for x
    x = 163,168.01/473.56
  6. Step 6: Final answer
    x = 344.56

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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.