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Finding the Fourth Proportional to 350.68, 523.56 and 289.94

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Solution

The fourth proportional to 350.68, 523.56 and 289.94 is: 432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.68 : 523.56 = 289.94 : x
  2. Step 2: Convert to fraction form
    350.68/523.56 = 289.94/x
  3. Step 3: Cross multiply
    350.68x = 523.56 × 289.94
  4. Step 4: Simplify right side
    350.68x = 151,800.99
  5. Step 5: Solve for x
    x = 151,800.99/350.68
  6. Step 6: Final answer
    x = 432.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.