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Finding the Fourth Proportional to 350.28, 524.49 and 289.70

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Solution

The fourth proportional to 350.28, 524.49 and 289.70 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.28 : 524.49 = 289.70 : x
  2. Step 2: Convert to fraction form
    350.28/524.49 = 289.70/x
  3. Step 3: Cross multiply
    350.28x = 524.49 × 289.70
  4. Step 4: Simplify right side
    350.28x = 151,942.13
  5. Step 5: Solve for x
    x = 151,942.13/350.28
  6. Step 6: Final answer
    x = 433.77

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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.