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Finding the Fourth Proportional to 412.82, 619.04 and 181.77

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Solution

The fourth proportional to 412.82, 619.04 and 181.77 is: 272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.82 : 619.04 = 181.77 : x
  2. Step 2: Convert to fraction form
    412.82/619.04 = 181.77/x
  3. Step 3: Cross multiply
    412.82x = 619.04 × 181.77
  4. Step 4: Simplify right side
    412.82x = 112,521.99
  5. Step 5: Solve for x
    x = 112,521.99/412.82
  6. Step 6: Final answer
    x = 272.57

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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.