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Finding the Fourth Proportional to 473.80, 709.67 and 229.81

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Solution

The fourth proportional to 473.80, 709.67 and 229.81 is: 344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.80 : 709.67 = 229.81 : x
  2. Step 2: Convert to fraction form
    473.80/709.67 = 229.81/x
  3. Step 3: Cross multiply
    473.80x = 709.67 × 229.81
  4. Step 4: Simplify right side
    473.80x = 163,091.61
  5. Step 5: Solve for x
    x = 163,091.61/473.80
  6. Step 6: Final answer
    x = 344.22

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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.