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Finding the Fourth Proportional to 592.29, 884.13 and 519.39

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Solution

The fourth proportional to 592.29, 884.13 and 519.39 is: 775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.29 : 884.13 = 519.39 : x
  2. Step 2: Convert to fraction form
    592.29/884.13 = 519.39/x
  3. Step 3: Cross multiply
    592.29x = 884.13 × 519.39
  4. Step 4: Simplify right side
    592.29x = 459,208.28
  5. Step 5: Solve for x
    x = 459,208.28/592.29
  6. Step 6: Final answer
    x = 775.31

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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.