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Finding the Fourth Proportional to 493.32, 680.78 and 286.32

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Solution

The fourth proportional to 493.32, 680.78 and 286.32 is: 395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.32 : 680.78 = 286.32 : x
  2. Step 2: Convert to fraction form
    493.32/680.78 = 286.32/x
  3. Step 3: Cross multiply
    493.32x = 680.78 × 286.32
  4. Step 4: Simplify right side
    493.32x = 194,919.50
  5. Step 5: Solve for x
    x = 194,919.50/493.32
  6. Step 6: Final answer
    x = 395.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.