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Finding the Fourth Proportional to 524.21, 784.94 and 350.60

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Solution

The fourth proportional to 524.21, 784.94 and 350.60 is: 524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.21 : 784.94 = 350.60 : x
  2. Step 2: Convert to fraction form
    524.21/784.94 = 350.60/x
  3. Step 3: Cross multiply
    524.21x = 784.94 × 350.60
  4. Step 4: Simplify right side
    524.21x = 275,194.29
  5. Step 5: Solve for x
    x = 275,194.29/524.21
  6. Step 6: Final answer
    x = 524.97

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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.