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Finding the Fourth Proportional to 350.24, 524.40 and 234.86

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Solution

The fourth proportional to 350.24, 524.40 and 234.86 is: 351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.24 : 524.40 = 234.86 : x
  2. Step 2: Convert to fraction form
    350.24/524.40 = 234.86/x
  3. Step 3: Cross multiply
    350.24x = 524.40 × 234.86
  4. Step 4: Simplify right side
    350.24x = 123,160.58
  5. Step 5: Solve for x
    x = 123,160.58/350.24
  6. Step 6: Final answer
    x = 351.65

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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.