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Finding the Fourth Proportional to 523.24, 784.56 and 350.11

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Solution

The fourth proportional to 523.24, 784.56 and 350.11 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 784.56 = 350.11 : x
  2. Step 2: Convert to fraction form
    523.24/784.56 = 350.11/x
  3. Step 3: Cross multiply
    523.24x = 784.56 × 350.11
  4. Step 4: Simplify right side
    523.24x = 274,682.30
  5. Step 5: Solve for x
    x = 274,682.30/523.24
  6. Step 6: Final answer
    x = 524.96

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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.