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Finding the Fourth Proportional to 439.86, 659.94 and 277.32

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Solution

The fourth proportional to 439.86, 659.94 and 277.32 is: 416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.86 : 659.94 = 277.32 : x
  2. Step 2: Convert to fraction form
    439.86/659.94 = 277.32/x
  3. Step 3: Cross multiply
    439.86x = 659.94 × 277.32
  4. Step 4: Simplify right side
    439.86x = 183,014.56
  5. Step 5: Solve for x
    x = 183,014.56/439.86
  6. Step 6: Final answer
    x = 416.07

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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.