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Finding the Fourth Proportional to 523.18, 784.14 and 306.82

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Solution

The fourth proportional to 523.18, 784.14 and 306.82 is: 459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.18 : 784.14 = 306.82 : x
  2. Step 2: Convert to fraction form
    523.18/784.14 = 306.82/x
  3. Step 3: Cross multiply
    523.18x = 784.14 × 306.82
  4. Step 4: Simplify right side
    523.18x = 240,589.83
  5. Step 5: Solve for x
    x = 240,589.83/523.18
  6. Step 6: Final answer
    x = 459.86

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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.