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Finding the Fourth Proportional to 411.74, 616.69 and 356.15

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Solution

The fourth proportional to 411.74, 616.69 and 356.15 is: 533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 616.69 = 356.15 : x
  2. Step 2: Convert to fraction form
    411.74/616.69 = 356.15/x
  3. Step 3: Cross multiply
    411.74x = 616.69 × 356.15
  4. Step 4: Simplify right side
    411.74x = 219,634.14
  5. Step 5: Solve for x
    x = 219,634.14/411.74
  6. Step 6: Final answer
    x = 533.43

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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.