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Finding the Fourth Proportional to 523.06, 784.73 and 306.78

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Solution

The fourth proportional to 523.06, 784.73 and 306.78 is: 460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 784.73 = 306.78 : x
  2. Step 2: Convert to fraction form
    523.06/784.73 = 306.78/x
  3. Step 3: Cross multiply
    523.06x = 784.73 × 306.78
  4. Step 4: Simplify right side
    523.06x = 240,739.47
  5. Step 5: Solve for x
    x = 240,739.47/523.06
  6. Step 6: Final answer
    x = 460.25

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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.