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Finding the Fourth Proportional to 473.03, 709.38 and 180.61

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Solution

The fourth proportional to 473.03, 709.38 and 180.61 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.03 : 709.38 = 180.61 : x
  2. Step 2: Convert to fraction form
    473.03/709.38 = 180.61/x
  3. Step 3: Cross multiply
    473.03x = 709.38 × 180.61
  4. Step 4: Simplify right side
    473.03x = 128,121.32
  5. Step 5: Solve for x
    x = 128,121.32/473.03
  6. Step 6: Final answer
    x = 270.85

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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.