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Finding the Fourth Proportional to 439.97, 659.86 and 286.97

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Solution

The fourth proportional to 439.97, 659.86 and 286.97 is: 430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.97 : 659.86 = 286.97 : x
  2. Step 2: Convert to fraction form
    439.97/659.86 = 286.97/x
  3. Step 3: Cross multiply
    439.97x = 659.86 × 286.97
  4. Step 4: Simplify right side
    439.97x = 189,356.01
  5. Step 5: Solve for x
    x = 189,356.01/439.97
  6. Step 6: Final answer
    x = 430.39

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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.