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Finding the Fourth Proportional to 412.68, 617.81 and 258.11

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Solution

The fourth proportional to 412.68, 617.81 and 258.11 is: 386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 617.81 = 258.11 : x
  2. Step 2: Convert to fraction form
    412.68/617.81 = 258.11/x
  3. Step 3: Cross multiply
    412.68x = 617.81 × 258.11
  4. Step 4: Simplify right side
    412.68x = 159,462.94
  5. Step 5: Solve for x
    x = 159,462.94/412.68
  6. Step 6: Final answer
    x = 386.41

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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.