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Finding the Fourth Proportional to 539.29, 807.06 and 523.70

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Solution

The fourth proportional to 539.29, 807.06 and 523.70 is: 783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.29 : 807.06 = 523.70 : x
  2. Step 2: Convert to fraction form
    539.29/807.06 = 523.70/x
  3. Step 3: Cross multiply
    539.29x = 807.06 × 523.70
  4. Step 4: Simplify right side
    539.29x = 422,658.28
  5. Step 5: Solve for x
    x = 422,658.28/539.29
  6. Step 6: Final answer
    x = 783.73

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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.