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Finding the Fourth Proportional to 523.13, 784.85 and 306.59

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Solution

The fourth proportional to 523.13, 784.85 and 306.59 is: 459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 784.85 = 306.59 : x
  2. Step 2: Convert to fraction form
    523.13/784.85 = 306.59/x
  3. Step 3: Cross multiply
    523.13x = 784.85 × 306.59
  4. Step 4: Simplify right side
    523.13x = 240,621.70
  5. Step 5: Solve for x
    x = 240,621.70/523.13
  6. Step 6: Final answer
    x = 459.97

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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.