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Finding the Fourth Proportional to 412.74, 617.98 and 290.94

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Solution

The fourth proportional to 412.74, 617.98 and 290.94 is: 435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.74 : 617.98 = 290.94 : x
  2. Step 2: Convert to fraction form
    412.74/617.98 = 290.94/x
  3. Step 3: Cross multiply
    412.74x = 617.98 × 290.94
  4. Step 4: Simplify right side
    412.74x = 179,793.65
  5. Step 5: Solve for x
    x = 179,793.65/412.74
  6. Step 6: Final answer
    x = 435.61

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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.