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Finding the Fourth Proportional to 350.78, 483.84 and 217.86

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Solution

The fourth proportional to 350.78, 483.84 and 217.86 is: 300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.78 : 483.84 = 217.86 : x
  2. Step 2: Convert to fraction form
    350.78/483.84 = 217.86/x
  3. Step 3: Cross multiply
    350.78x = 483.84 × 217.86
  4. Step 4: Simplify right side
    350.78x = 105,410.29
  5. Step 5: Solve for x
    x = 105,410.29/350.78
  6. Step 6: Final answer
    x = 300.50

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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.