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Finding the Fourth Proportional to 350.10, 524.49 and 263.55

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Solution

The fourth proportional to 350.10, 524.49 and 263.55 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.10 : 524.49 = 263.55 : x
  2. Step 2: Convert to fraction form
    350.10/524.49 = 263.55/x
  3. Step 3: Cross multiply
    350.10x = 524.49 × 263.55
  4. Step 4: Simplify right side
    350.10x = 138,229.34
  5. Step 5: Solve for x
    x = 138,229.34/350.10
  6. Step 6: Final answer
    x = 394.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.