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Finding the Fourth Proportional to 599.58, 827.50 and 363.55

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Solution

The fourth proportional to 599.58, 827.50 and 363.55 is: 501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.58 : 827.50 = 363.55 : x
  2. Step 2: Convert to fraction form
    599.58/827.50 = 363.55/x
  3. Step 3: Cross multiply
    599.58x = 827.50 × 363.55
  4. Step 4: Simplify right side
    599.58x = 300,835.81
  5. Step 5: Solve for x
    x = 300,835.81/599.58
  6. Step 6: Final answer
    x = 501.75

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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.