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Finding the Fourth Proportional to 473.73, 709.88 and 185.01

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Solution

The fourth proportional to 473.73, 709.88 and 185.01 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.73 : 709.88 = 185.01 : x
  2. Step 2: Convert to fraction form
    473.73/709.88 = 185.01/x
  3. Step 3: Cross multiply
    473.73x = 709.88 × 185.01
  4. Step 4: Simplify right side
    473.73x = 131,333.97
  5. Step 5: Solve for x
    x = 131,333.97/473.73
  6. Step 6: Final answer
    x = 277.23

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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.