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Finding the Fourth Proportional to 592.31, 884.37 and 523.06

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Solution

The fourth proportional to 592.31, 884.37 and 523.06 is: 780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.31 : 884.37 = 523.06 : x
  2. Step 2: Convert to fraction form
    592.31/884.37 = 523.06/x
  3. Step 3: Cross multiply
    592.31x = 884.37 × 523.06
  4. Step 4: Simplify right side
    592.31x = 462,575.38
  5. Step 5: Solve for x
    x = 462,575.38/592.31
  6. Step 6: Final answer
    x = 780.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.