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Finding the Fourth Proportional to 523.23, 784.96 and 176.55

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Solution

The fourth proportional to 523.23, 784.96 and 176.55 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 784.96 = 176.55 : x
  2. Step 2: Convert to fraction form
    523.23/784.96 = 176.55/x
  3. Step 3: Cross multiply
    523.23x = 784.96 × 176.55
  4. Step 4: Simplify right side
    523.23x = 138,584.69
  5. Step 5: Solve for x
    x = 138,584.69/523.23
  6. Step 6: Final answer
    x = 264.87

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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.