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Finding the Fourth Proportional to 473.52, 709.84 and 180.84

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Solution

The fourth proportional to 473.52, 709.84 and 180.84 is: 271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.52 : 709.84 = 180.84 : x
  2. Step 2: Convert to fraction form
    473.52/709.84 = 180.84/x
  3. Step 3: Cross multiply
    473.52x = 709.84 × 180.84
  4. Step 4: Simplify right side
    473.52x = 128,367.47
  5. Step 5: Solve for x
    x = 128,367.47/473.52
  6. Step 6: Final answer
    x = 271.09

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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.