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Finding the Fourth Proportional to 473.22, 709.84 and 180.76

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Solution

The fourth proportional to 473.22, 709.84 and 180.76 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.22 : 709.84 = 180.76 : x
  2. Step 2: Convert to fraction form
    473.22/709.84 = 180.76/x
  3. Step 3: Cross multiply
    473.22x = 709.84 × 180.76
  4. Step 4: Simplify right side
    473.22x = 128,310.68
  5. Step 5: Solve for x
    x = 128,310.68/473.22
  6. Step 6: Final answer
    x = 271.14

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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.