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Finding the Fourth Proportional to 407.59, 611.34 and 164.05

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Solution

The fourth proportional to 407.59, 611.34 and 164.05 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.59 : 611.34 = 164.05 : x
  2. Step 2: Convert to fraction form
    407.59/611.34 = 164.05/x
  3. Step 3: Cross multiply
    407.59x = 611.34 × 164.05
  4. Step 4: Simplify right side
    407.59x = 100,290.33
  5. Step 5: Solve for x
    x = 100,290.33/407.59
  6. Step 6: Final answer
    x = 246.06

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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.