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Finding the Fourth Proportional to 412.68, 617.40 and 274.56

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Solution

The fourth proportional to 412.68, 617.40 and 274.56 is: 410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 617.40 = 274.56 : x
  2. Step 2: Convert to fraction form
    412.68/617.40 = 274.56/x
  3. Step 3: Cross multiply
    412.68x = 617.40 × 274.56
  4. Step 4: Simplify right side
    412.68x = 169,513.34
  5. Step 5: Solve for x
    x = 169,513.34/412.68
  6. Step 6: Final answer
    x = 410.76

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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.