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Finding the Fourth Proportional to 350.26, 524.65 and 284.96

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Solution

The fourth proportional to 350.26, 524.65 and 284.96 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.26 : 524.65 = 284.96 : x
  2. Step 2: Convert to fraction form
    350.26/524.65 = 284.96/x
  3. Step 3: Cross multiply
    350.26x = 524.65 × 284.96
  4. Step 4: Simplify right side
    350.26x = 149,504.26
  5. Step 5: Solve for x
    x = 149,504.26/350.26
  6. Step 6: Final answer
    x = 426.84

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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.