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Finding the Fourth Proportional to 412.33, 619.08 and 257.82

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Solution

The fourth proportional to 412.33, 619.08 and 257.82 is: 387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.33 : 619.08 = 257.82 : x
  2. Step 2: Convert to fraction form
    412.33/619.08 = 257.82/x
  3. Step 3: Cross multiply
    412.33x = 619.08 × 257.82
  4. Step 4: Simplify right side
    412.33x = 159,611.21
  5. Step 5: Solve for x
    x = 159,611.21/412.33
  6. Step 6: Final answer
    x = 387.10

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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.