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Finding the Fourth Proportional to 592.75, 818.07 and 359.88

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Solution

The fourth proportional to 592.75, 818.07 and 359.88 is: 496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.75 : 818.07 = 359.88 : x
  2. Step 2: Convert to fraction form
    592.75/818.07 = 359.88/x
  3. Step 3: Cross multiply
    592.75x = 818.07 × 359.88
  4. Step 4: Simplify right side
    592.75x = 294,407.03
  5. Step 5: Solve for x
    x = 294,407.03/592.75
  6. Step 6: Final answer
    x = 496.68

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