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Finding the Fourth Proportional to 439.58, 659.79 and 277.37

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Solution

The fourth proportional to 439.58, 659.79 and 277.37 is: 416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.58 : 659.79 = 277.37 : x
  2. Step 2: Convert to fraction form
    439.58/659.79 = 277.37/x
  3. Step 3: Cross multiply
    439.58x = 659.79 × 277.37
  4. Step 4: Simplify right side
    439.58x = 183,005.95
  5. Step 5: Solve for x
    x = 183,005.95/439.58
  6. Step 6: Final answer
    x = 416.32

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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.