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Finding the Fourth Proportional to 411.77, 617.24 and 315.38

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Solution

The fourth proportional to 411.77, 617.24 and 315.38 is: 472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.77 : 617.24 = 315.38 : x
  2. Step 2: Convert to fraction form
    411.77/617.24 = 315.38/x
  3. Step 3: Cross multiply
    411.77x = 617.24 × 315.38
  4. Step 4: Simplify right side
    411.77x = 194,660.49
  5. Step 5: Solve for x
    x = 194,660.49/411.77
  6. Step 6: Final answer
    x = 472.75

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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.