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Finding the Fourth Proportional to 412.76, 617.92 and 258.22

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Solution

The fourth proportional to 412.76, 617.92 and 258.22 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 617.92 = 258.22 : x
  2. Step 2: Convert to fraction form
    412.76/617.92 = 258.22/x
  3. Step 3: Cross multiply
    412.76x = 617.92 × 258.22
  4. Step 4: Simplify right side
    412.76x = 159,558.08
  5. Step 5: Solve for x
    x = 159,558.08/412.76
  6. Step 6: Final answer
    x = 386.56

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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.