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Finding the Fourth Proportional to 412.33, 617.80 and 290.37

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Solution

The fourth proportional to 412.33, 617.80 and 290.37 is: 435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.33 : 617.80 = 290.37 : x
  2. Step 2: Convert to fraction form
    412.33/617.80 = 290.37/x
  3. Step 3: Cross multiply
    412.33x = 617.80 × 290.37
  4. Step 4: Simplify right side
    412.33x = 179,390.59
  5. Step 5: Solve for x
    x = 179,390.59/412.33
  6. Step 6: Final answer
    x = 435.07

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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.