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Finding the Fourth Proportional to 350.94, 523.93 and 296.27

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Solution

The fourth proportional to 350.94, 523.93 and 296.27 is: 442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.94 : 523.93 = 296.27 : x
  2. Step 2: Convert to fraction form
    350.94/523.93 = 296.27/x
  3. Step 3: Cross multiply
    350.94x = 523.93 × 296.27
  4. Step 4: Simplify right side
    350.94x = 155,221.38
  5. Step 5: Solve for x
    x = 155,221.38/350.94
  6. Step 6: Final answer
    x = 442.30

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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.