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Finding the Fourth Proportional to 523.51, 784.23 and 349.66

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Solution

The fourth proportional to 523.51, 784.23 and 349.66 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.51 : 784.23 = 349.66 : x
  2. Step 2: Convert to fraction form
    523.51/784.23 = 349.66/x
  3. Step 3: Cross multiply
    523.51x = 784.23 × 349.66
  4. Step 4: Simplify right side
    523.51x = 274,213.86
  5. Step 5: Solve for x
    x = 274,213.86/523.51
  6. Step 6: Final answer
    x = 523.80

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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.