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Finding the Fourth Proportional to 473.14, 709.30 and 184.51

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Solution

The fourth proportional to 473.14, 709.30 and 184.51 is: 276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.14 : 709.30 = 184.51 : x
  2. Step 2: Convert to fraction form
    473.14/709.30 = 184.51/x
  3. Step 3: Cross multiply
    473.14x = 709.30 × 184.51
  4. Step 4: Simplify right side
    473.14x = 130,872.94
  5. Step 5: Solve for x
    x = 130,872.94/473.14
  6. Step 6: Final answer
    x = 276.61

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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.