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Finding the Fourth Proportional to 439.86, 659.54 and 180.04

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Solution

The fourth proportional to 439.86, 659.54 and 180.04 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.86 : 659.54 = 180.04 : x
  2. Step 2: Convert to fraction form
    439.86/659.54 = 180.04/x
  3. Step 3: Cross multiply
    439.86x = 659.54 × 180.04
  4. Step 4: Simplify right side
    439.86x = 118,742.33
  5. Step 5: Solve for x
    x = 118,742.33/439.86
  6. Step 6: Final answer
    x = 269.96

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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.