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Finding the Fourth Proportional to 411.36, 616.29 and 257.19

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Solution

The fourth proportional to 411.36, 616.29 and 257.19 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 616.29 = 257.19 : x
  2. Step 2: Convert to fraction form
    411.36/616.29 = 257.19/x
  3. Step 3: Cross multiply
    411.36x = 616.29 × 257.19
  4. Step 4: Simplify right side
    411.36x = 158,503.63
  5. Step 5: Solve for x
    x = 158,503.63/411.36
  6. Step 6: Final answer
    x = 385.32

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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.