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Finding the Fourth Proportional to 592.26, 817.32 and 359.52

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Solution

The fourth proportional to 592.26, 817.32 and 359.52 is: 496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.26 : 817.32 = 359.52 : x
  2. Step 2: Convert to fraction form
    592.26/817.32 = 359.52/x
  3. Step 3: Cross multiply
    592.26x = 817.32 × 359.52
  4. Step 4: Simplify right side
    592.26x = 293,842.89
  5. Step 5: Solve for x
    x = 293,842.89/592.26
  6. Step 6: Final answer
    x = 496.14

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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.