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Finding the Fourth Proportional to 523.73, 785.28 and 306.85

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Solution

The fourth proportional to 523.73, 785.28 and 306.85 is: 460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.73 : 785.28 = 306.85 : x
  2. Step 2: Convert to fraction form
    523.73/785.28 = 306.85/x
  3. Step 3: Cross multiply
    523.73x = 785.28 × 306.85
  4. Step 4: Simplify right side
    523.73x = 240,963.17
  5. Step 5: Solve for x
    x = 240,963.17/523.73
  6. Step 6: Final answer
    x = 460.09

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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.