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Finding the Fourth Proportional to 411.54, 617.45 and 257.28

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Solution

The fourth proportional to 411.54, 617.45 and 257.28 is: 386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.54 : 617.45 = 257.28 : x
  2. Step 2: Convert to fraction form
    411.54/617.45 = 257.28/x
  3. Step 3: Cross multiply
    411.54x = 617.45 × 257.28
  4. Step 4: Simplify right side
    411.54x = 158,859.08
  5. Step 5: Solve for x
    x = 158,859.08/411.54
  6. Step 6: Final answer
    x = 386.01

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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.