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Finding the Fourth Proportional to 592.52, 817.42 and 359.48

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Solution

The fourth proportional to 592.52, 817.42 and 359.48 is: 495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.52 : 817.42 = 359.48 : x
  2. Step 2: Convert to fraction form
    592.52/817.42 = 359.48/x
  3. Step 3: Cross multiply
    592.52x = 817.42 × 359.48
  4. Step 4: Simplify right side
    592.52x = 293,846.14
  5. Step 5: Solve for x
    x = 293,846.14/592.52
  6. Step 6: Final answer
    x = 495.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.